From child prodigy to chief scientist

To Xu Xiao's embarrassment, after writing a few more lines, there was no space left at the bottom of the blackboard.

Because Xu Xiao is only a little over 1.5 meters tall, she can't reach the top of the blackboard, so she can only start writing from the lower middle part.

"Teacher, can I borrow your chair for a moment?"

"Ah...you can take it and use it."

With Sun Yifei's permission, Xu Xiao moved the chair over and took off her shoes to stand on it.

Since she is not tall enough, Xu Xiao can only rely on external help, although such behavior is indeed a bit embarrassing.

But in order to finish writing the proof, he didn't have time to think about anything else.

At this moment, the situation of Class 1, Grade 12, was somewhat delicate.

The whole class watched as a 1.5-meter-tall child stood on a chair and did problems on the blackboard.

This should have been a hilarious scene, but no one could laugh at that moment.

Because this child, whom they had previously looked down upon, was trying to prove himself in ways they never imagined.

Finally, after filling the upper half of the blackboard, Xu Xiao completed all his proof work.

"In that case, the Taylor expansion should be ready to use..."

After writing down these details, Xu Xiao dusted off her hands, put on her shoes, and returned the chair to its place.

After carefully reading through Xu Xiao's entire account, several students realized that Xu Xiao's account was correct.

Some students were unsure whether this method was correct and curiously asked Sun Yifei:

"Teacher Sun, is it really okay to do this?"

Sun Yifei did not answer directly. Seeing that it was time for class, he asked everyone to return to their seats.

"The approach Xu Xiao just used was to first prove Taylor expansion, and then use that conclusion to prove the inequality in the problem statement."

"This approach is theoretically feasible and not beyond the scope of the curriculum; it should be possible to get points on the exam."

"However, I personally do not recommend this method because the process is indeed too cumbersome, and we have other better methods."

"Of course, you can also consider this approach as an extension, or as an alternative when you really can't think of any other methods during the exam..."

Sun Yifei's feelings were somewhat complicated when he said these words.

The fact that a child who looked like an elementary school student could solve this problem using university-level knowledge, and even prove the parts that were beyond the curriculum using high school knowledge, was very shocking to Sun Yifei.

However, this method does feel like using a sledgehammer to crack a nut, and it's definitely not the optimal solution for this problem.

Xu Xiao accepted Sun Yifei's evaluation with great humility.

If Xu Xiao were to encounter a similar question in an exam, he certainly wouldn't prioritize such a cumbersome method.

However, even Sun Yifei did not deny his own proof, which is enough to show that the method is still completely correct.

In the following period, Sun Yifei proved the problem using the constructor method, the bounding method, and the interval proof method.

Sun Yifei's thinking was indeed very clear, especially in the method of contraction, where he cleverly introduced a new inequality and completed the proof in a very short time.

After watching Sun Yifei's proof process, Xu Xiao also realized that he still had many shortcomings.

Within the limited exam time, the fastest problem-solving method should definitely be prioritized.

Xu Xiao did not become complacent after answering the question correctly. Instead, she continued to expand her knowledge base and carefully recorded the methods she was not familiar with before.

At this moment, although the other students in the classroom were also listening attentively to the lesson, they still couldn't forget the scene when Xu Xiao proved Taylor's theory on the blackboard just after class.

Many of them had previously joked about Xu Xiao, but it turns out that in mathematics, they might not be able to match this child who was several years younger than them.

This made them all feel somewhat ashamed, and their original confidence as the elite Yucai Rocket Class diminished considerably.

If they were Xu Xiao's age, they probably wouldn't even know what a rational number is, let alone be able to prove the Taylor series expansion.

After finishing the math class, Xu Xiao slung her backpack over her shoulder and walked toward the door.

Many students in the class watched Xu Xiao's departing figure. While they were curious about Xu Xiao's identity, they also secretly reminded themselves that they must continue to work harder, otherwise they would really be worse than a child.

As Xu Xiao was leaving Class 1 of Senior Three, she was about to go to the next class to attend a lecture when she suddenly heard a synthesized electronic voice coming from her mind.

[The entry/task has been refreshed...]

"Finally... a new questline?"

At first, Xu Xiao thought that once he completed the previous entry task, a new entry task would appear immediately.

However, the system's entry tasks actually have a certain cooldown period, and Xu Xiao has not yet fully figured out the specific rules.

Without thinking too much, Xu Xiao immediately started looking at the latest entry tasks.

[1. Achieving perfect scores on ten consecutive exams earns the title "Exam God"]

[Entry Effect: Increases thinking speed by an additional 10% when taking exams]

[It's easier to spot hidden traps in exam questions]

[2. Memorize all core formulas, classical poems, vocabulary, and other basic knowledge required by the high school exam syllabus to acquire vocabulary entries that are easy to remember]

[Entry Effect: Simulates the brain's memory process as a computer's hierarchical storage and retrieval system, significantly enhancing memory capabilities]

[Improve memory by 100%, reduce the rate of knowledge forgetting by 50%]

[3. Failing five consecutive exams earns the entry "The Shifter"]

[Entry Effect: When the host experiences setbacks, they can quickly find excuses for failure, significantly reducing negative emotions.]

[When arguing with others, it's easier to make them feel like they're in the wrong.]

Please choose one of the three task categories.

After reviewing the three task entries and their corresponding effects, Xu Xiao carefully evaluated them.

The first entry about the "exam god" immediately piqued Xu Xiao's interest.

A 10% difference in thinking speed may seem insignificant, but it can have a crucial impact on exams.

With the same level of knowledge, different thinking speeds can lead to completely different exam results.

With the effect of this entry, you might be able to score ten or more points higher than usual in the college entrance examination.

However, completing this task is not as easy as it seems.

Although the content taught in the gifted youth program is very simple for Xu Xiao, he cannot guarantee that he will get full marks in every exam.