When lim is at an absolute value.

The relationship between f(x1) and f(x0) can be recorded as...

The expression equation can be listed as: f(x0)=limx0(f(x0x)-f(x0))/x.

...

For five days, Fang Chao kept himself in the room and did not go out.

The process of waveguide function is also progressing slowly every day.

Progress 20%.

Progress 37%.

Every day, the operation of the waveguide function is slowly approaching completion under Fang Chao's operation.

This is not a specific interval function, it is just an example functional equation that Fang Chao himself thought of.

Although it is not as great as cracking conjectures, it is a way to solve problems for a specific function, born from ideas and gradually approaching perfection due to operations.

Zheng Meiling bought bread and water and placed it at Fang Chao's door. He opened it and put it directly into the room.

Now Fang Chao cannot be disturbed. Fortunately, Fang Chao did not lock the door, so Zheng Meiling occasionally secretly opened the door a gap. Seeing that her son was still moving, she felt a little relieved and not so nervous.

Day 4.

Day 5.

The progress has reached 72%.

So far, the closer we get to the later stage, the equations have already been listed, and if the remaining 20% ​​are really just analyzing the equations that have not been answered before and calculating how to get to this point. This is an in-depth analysis.

On the sixth day, the progress reached 97%.

And at around 10 am on the seventh day, the progress reached 99%.

I can't go one step closer!

99%!

This is the limit that Fang Chao can reach and the ultimate that he can achieve himself.

Even if he gave Fang Chao more time, Fang Chao could not get closer to the waveguide function. He reached 90% yesterday morning, and he only completed 7% of the progress in a whole day.

He had a heart attack that night, but it took him ten hours to complete the remaining 2% of the last 3%.

Of course, this is the functional step he determines perfectly. If he wants to rate himself, it must be 100 points, but if it comes to progress, it can only be 99%!

The remaining 1% is because this functional equation has not been recognized by professionals, and there will inevitably be some omissions, but this problem is not something Fang Chao could find, and his level has not yet reached the step of self-evaluation.

The level of math LV4 cannot complete this step!

Naturally, even if others are not able to turn the progress to 100% on the question they think of. Even if the mathematician completes a conjecture, as long as the argument is not obtained, the progress will always be only 99%!

Of course, the highest is that it is infinitely close to 100%, or 99.999999...%.

However, in the field of mathematics, as long as it has not been proved, it is basically defined as 99%.

After seven days of continuous liver explosion, Fang Chao looked very sloppy and even had a little bit of his beard... He was not yet eighteen years old, and he had already begun to have an adult symbol.

Fang Chao knew that he had grown up.

He soon stopped being a seventeen-year-old underage, and in a few months he would be an eighteen-year-old adult.

I am so tired. I have become a doctorate at the age of 18, but what about me? I still accomplish nothing...

Forget it, let’s get the things in front of you first.

For waveguide function, he has completed all the steps himself, but he needs a proofreader.

This person cannot be found in high school. His level is not enough. Although Lao Zheng is powerful, his strength is physics. He cannot provide Fang Chao with professional advice on mathematics.

When he thought of this, Fang Chao took out his cell phone and called.

After the phone rang a few times, it was picked up, and a slightly surprised voice rang out from the other side, "Chao'er, what's wrong? Why did you suddenly remember to call me? I've only been away for less than ten days? Do you want me to teach you the skills to pick up girls? No problem, but when did you get it?"

Listening to Shen Lang's familiar tone, Fang Chao felt kindness, and even though his body had not rested for seven days, he felt a warmth at this moment.

I am not afraid of fighting alone, but the most feared thing is that no one can share the results of fighting alone.

If you want to be content with your appetite, you have to have enough attainments in mathematics. Among the people Fang Chao knows, Shen Lang is the only one.

"No, Brother Lang, this is the case. I have been thinking about a problem these days, that is, if there are two functions with equal approximations, then when they are in a balance, will there be one solution and multiple solutions, or there is no solution?

On the other hand, this question is somewhat similar to Schrödinger's cat, but the quantum mechanics is too complicated, and what I am studying is only a function question, and its answer is in a range, so there are not two extreme answers, either life or death. When I thought of this function, I spent seven days listing its equations. Unfortunately, my level is limited and I don't know if my research direction is wrong, so I would like to ask Brother Lang, you can help me see it. I don't know if Brother Lang, do you have time?"

Shen Lang gave Fang Chao great help during the ten days of coming to Rongcheng. Now that he has left, Fang Chao wants to ask the other party again. When he says that, Fang Chao feels that he owes Shen Lang a lot, and Shen Lang almost does his best to help him without asking for anything in return.

Now that he has something to ask for the other party, Fang Chao is a little embarrassed, but he doesn't know anyone except Shen Lang.

Professor Lin can do it, but will he see the analysis of function problems written by a high school student?

If you haven't reached a certain level, you won't have that qualification.

It’s like if you want to publish math works in some well-known math journals, you also need to go through layers of screening. If you can’t even pass the first level, let alone follow-ups.

After listening to Fang Chao's words, Shen Lang smiled and said, "You kid, you are not as good as you in high school, and you can ask questions and answer questions. I'm not available today, but you can send it to me first and I'll help you with it tomorrow."

Shen Lang agreed to Fang Chao's request again, which made Fang Chao very happy and excited.

"Thank you, Brother Lang."

"Don't be too happy too early. If you pick up girls, I'll accept this thank you. However, if it involves academic issues, I will not show mercy. If this last function is full of errors, I will not be polite to you."

"I know, so please Brother Lang."
Chapter completed!