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Chapter 107: Self-study classroom

"What did you say just now, say it again?"

Diao Shudai thought his ears were not sharp, and he was out of touch. The person in front of him, this poor student, dared to refuse my kind-hearted guidance, and even said that he didn't need to learn advanced mathematics!

"Student, do you understand the postgraduate entrance examination? Advanced mathematics is a must-take exam, and you can't get around it no matter how you go around it!" He still said in an old-fashioned manner.

Li San frowned and felt inexplicably confused. He repeatedly replied that he did not take the postgraduate entrance examination, but Diao Shudai was in the ears and insisted on being a teacher. He stuck to his skin like a leech in the ground and couldn't pull it off. He was also buzzing like a mosquito or a fly. It was both difficult and annoying, and disturbed his review of the book.

"I usually know high-level mathematics, and I don't need it."

What a big tone, I can do it, haha, even I dare not say such big words. Diao Shudai sneered in his heart. In his opinion, Li San's words were purely a slap in his face and pretending to be fat. Humph, rich people all have this kind of virtue, and they like to save face. Okay, I will completely tear your face!

"Is that so sorry, can you read the question? You can do it anyway."

Diao Shudai used an eraser to erase the calculation process in advance, and pointed to the question with a trace of rubber dandruff left:

lim(x-)0)[√(1+xcosx)-√(1+sinx)]/x

Li San glanced at Diao Shudai again, "You don't know how to do this question?"

Of course, I can do it. I can do it in my freshman year. The key is that you don’t! Diao Shudai raised his pointed chin high, raised his toes and looked at others with a proud nose.

"Don't say whether it will be possible or not, you can solve it first." He said contemptuously.

Li San picked up the pen and said, "There is an answer and a process of solving the problem."

Look, look, it’s really embarrassing to directly ask and answer the answer and solve the problem. Why did I let him sit next to me?

Diao Shudai glanced at Li San with contempt and said sarcastically: "Of course there is, do you want to see it?"

"No, you can just look at the answer directly after the specific analysis, the answer is -1/6!"

Li Sanyi said, and wrote quickly in the blank space. "The molecule was processed with a physical and chemical method, and the whole function was reduced to [xcosx-sinx]/xx1/[√(1+xcosx)+√(1+sinx)]. The former was solved by the Luobida rule to -1/3, and the latter's limit value was 1/2 of the function."

Diao Shudai was stunned. The answer was correct, but he felt unbelievable. He could not imagine that Li San, who was regarded as a low-level person in his heart, could actually solve it. But then he thought, hum, what is the solution to this kind of problem? I could learn by myself before class in my freshman year.

"Then...that classmate," Diao Shudai pretended to be embarrassed and weakly pointed to another question with the same residual rubber dandruff. "How should I solve this question?"

Li San said in confusion: "You haven't figured out this question, is it appropriate to ask the next question?"

Hey, you, a poor student, have taught me, this is a big deal! Diao Shudai's eyebrows trembled, he opened his mouth to refute, and then he endured his throat and squirmed, "Hey, ask for innocence at one time, and then figured it out one after another."

"It's the limit again?"

From Li San's squinting eyes, Diao Shudai felt disgusted and confused, as if saying, "Your foundation is so poor, why do you take the postgraduate entrance examination?" He immediately pursed his lips, his chest was up and down, and a flame was in his heart. He wanted to curse, and what was it, it was the limit, and the whole book was the limit.

Swhoosh, the blue veins on Diao Shudai's forehead wriggled slightly like caterpillars. He breathed deeply, and the breath in his stomach slowly leaked from his mouth like a deflated tire. Don't be as knowledgeable as him, don't be as knowledgeable as him, I'm going to take the postgraduate entrance examination at Shanghai University of Finance and Economics, don't be as hygienic as him, who can only be in trouble.

He said falsely: "Yes, it's still the limit, you can see it."

Li San sighed softly. Thinking of the fact that this person took the initiative to move his seat, he once again took the energy from his thoughts and took another quick look:

"Try to find the positive numbers a and b, so that the equation (x→0)lim1/(x-bsinx)∫t^2/√(a+t^2)dt=1 holds true. (∫ The upper corner is marked x and the lower corner is marked 0)"

Hehe, it took me half an hour to solve this problem. I don’t believe that you can solve it at your level. It’s impossible to give you a day or two!

Diao Shudai turned his head and smirked gloomyly. However, less than a minute, maybe thirty seconds passed

"It's solved." Li San said lightly.

"What... what, it's solved!" Diao Shudai looked at Li San half-believingly, "It's true, you solved it just as you thought about it?"

Questions like this are simply pediatrics in various strange and difficult mathematical exercises that Xu Hanqing has produced. Li San is very comfortable to deal with these. He almost came up with the answers when he saw the question. The derivation and analysis process takes less than a minute in his mind. Otherwise, how could he do fifteen pages before the grocery store owner opens the store and include filling in the blanks and proof and derivation.

Li San looked at the alarm clock in front of Diao Shudai's desk. The hour and minute hands on it showed that it was ten o'clock. He couldn't to waste more time. Without saying a word, he grabbed the pen and wrote down the process of understanding the problem on the draft paper, and explained it while writing.

"For a typical 0/0 type unfinished formula, just use the Luobida rule. The first step is to disassemble the points. From (x→0)lim(1-bcosx)=0, you can get b=1, and then bring it back to the original formula, and get a=4. Look at the answer, is it true."

Diao Shudai stared blankly at the neat handwriting on the draft and the smooth problem-solving process, stunned. What this guy had just done, it seemed like I had written it when I opened my eyes and closed it. My brain didn't react at all, and I didn't know what you were talking about.

That's right, it must be nonsense. The answer to this question is clearly a=8. If you don't know, pretend to understand. Hey, rich people...

He complained all over his stomach, slandering Li San fiercely, his lips raised slightly, and he smugly flipped through the question that had not yet been proofreaded. Suddenly, in the answer, the first line at the beginning of the answer, "a=4, b=1" suddenly appeared on the rough printed paper, like a bolt from the blue, and fell on Diao Shudai, who thought he could hide under a tree and shelter from the rain. The strong current made his heart tremble suddenly, causing his facial features to be distorted and ferocious.

The two eyes seemed to be about to fall out of the sunken eye socket. Diao Shudai stared straight at it for more than a minute, but mathematics, which can stand the test, especially the binary opposition that is right or wrong, is now, the answer that took half an hour to think hard and calculate is wrong, and the illiterate tycoon next door who has always been a scumbag in the learning area was solved in just a blink of an eye. This comparison is like kicking himself at Yunduan, kicking him freely and falling to the ground.

Ah, jealousy makes Gaussian vague!

Ah, jealousy is beyond recognition!

Just as Diao Shudai looked at the answer dumbly, Li Sanyi looked carefully while flipping through the book and reminded kindly: "The application of the very simple Luobida rule is not difficult. It seems that you have to spend more time on the limit. It is recommended that you buy a book called "Tongji Five Edition Advanced Mathematics". If you think it is expensive, you can also borrow it from the library. Specifically in the mathematics and science and chemistry reading room on the second floor, there should be two more books in my impression."

The words and the tone in the conversation woke Diao Shudai like a thorn. He was dumbfounded and replied subconsciously: "Thank you... Thank you..."

Before he finished speaking, he suddenly shuddered and recovered from his senses. Wait, why did this sound so much like a teacher teaching a child to walk? Why did this tone look so much like what I just told him, he was teaching me how to learn advanced mathematics, my advanced mathematics, counting, replying to letters, linear algebra, but I didn't fail every subject, I will use you to teach it!

"How about it, do you understand this question 'a=4,b=1'?" Li San said kindly.

However, it was like a handful of salt sprinkled on the wound, and Diao Shudai, who was about to swear, was as if he was about to swear, especially the person in front of him had a friendly smile.

"No...I don't..." He couldn't help but open his mouth, and then stopped his mouth quickly, and the corners of his mouth twitched.
Chapter completed!
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