Chapter 7

As he passed by the main entrance of the library, he glanced at the holographic display by the door and saw that the remaining time for the idle task had already changed to 18 hours.

William Carter suddenly felt that it might not be so bad if the task didn’t finish too quickly. In just these six hours, he felt he had learned more than he had in the entire past year.

Thinking of that unopened copy of "Advanced Algebra" lying on the desk, William Carter stroked his chin as he walked toward the cafeteria.

There was still a C language exam at the end of the term. Maybe he should find another C language book to look at?

And then there was English.

He just didn’t know if English books had a value coefficient. Anyway, those English newspapers placed at the library entrance didn’t have one. This high-tech system seemed to have a strange bias against liberal arts subjects, which really wasn’t great.

After swiping his meal card for a set meal and finishing his food, William Carter hurried back to the library. He first went to the counter to return the books he’d finished, then headed to the bookshelves, took a copy of "C Language Detailed Explanation, Fifth Edition," tucked it under his arm, and returned to his seat.

After the lunch break, the library started to fill up again.

Focusing intently on "Advanced Algebra," William Carter was about to move on to the next topic when he suddenly felt something poke his arm. Turning his head, he saw a girl with round glasses and a single ponytail, looking delicate and pretty, holding a pen in her hand and looking at him apologetically.

“Excuse me, sorry to bother you… could I ask you a question?”

William Carter nodded generously and said, “No problem, go ahead.”

Although his reading was interrupted, he wasn’t annoyed at all.

Why, you ask?

It has to be said, humans are creatures of aesthetics. In interpersonal interactions, looks really do matter.

Why did this girl come to me instead of someone else?

Isn’t it because I’m better looking than the others!

William Carter just liked explaining problems to people with good taste and honest personalities.

Not for anything else—just because it felt good!

“Thank you.” The girl whispered her thanks, gently moved her chair, and sat down next to William Carter, thoughtfully handing over a pen and some scratch paper.

William Carter didn’t stand on ceremony. After taking the pen and paper, he glanced at the problem.

“Let me see… you want to find a limit, right?”

Try to find positive numbers a and b such that the equation (X→0) lim 1/(x-b sin x) ∫ t²/√(a+t²) dt = 1 holds. (The upper limit of the integral is x, the lower limit is 0)

He didn’t think he’d done this problem before, but he seemed to have seen a similar type while reading earlier.

And since he’d just been reading advanced algebra, it was a good chance to test the system’s capabilities.

Out of habit, he twirled his pen, thought for a moment—less than a minute—and then said, “I’ve solved it.”

“You—you’ve already solved it?” Sarah Brooks looked at William Carter in disbelief, thinking, You haven’t even started writing, how could you have solved it already?

William Carter glanced at the girl, thinking to himself, Her bust size really is inversely proportional to her IQ.

But honestly, even he was a bit startled by his own speed. In the past, while he could solve this kind of problem, it would never have been this easy or this smooth. He hadn’t even used the scratch paper—the whole solution was clear in his mind.

Without any fuss, William Carter grabbed the pen and wrote out the solution process on the scratch paper, explaining as he wrote: “This is a typical 0/0 indeterminate form, so just use L’Hospital’s Rule. First, split the integral—this part isn’t hard, right? Since (X→0) lim (1-b cos x) = 0, we get b=1. Substitute back into the original equation, and you can solve for a=4. Check the answer and see if I’m right.”

Sarah Brooks stared blankly at the scratch pad, feeling that his solution was even faster than she could follow.

Especially when he wrote down the last two answers—her mind was still stuck on the step of solving the integral.

With a skeptical heart, she turned to the answer key, and her eyes widened instantly.

It really was the right answer!?

Noticing the expression on her face, William Carter, a little smug, smiled and twirled his pen, saying, “It’s just a simple application of L’Hospital’s Rule. The calculation itself isn’t difficult. By the way, are you a freshman? What’s your major?”

Sarah Brooks blushed and whispered, “I’m preparing for graduate school…”

As soon as she said it, her face turned even redder.

Not from shyness, but from anger!

So infuriating!

It’s just solving a math problem—what’s with all the showing off! So what if I haven’t touched calculus in years and have forgotten it all? He’s got no manners at all—no wonder he’s single! No wonder he’s always alone in the library!

Thinking this, Sarah Brooks felt a little better.

As for the fact that she was also alone in the library, she chose to ignore it.

“Uh.” William Carter looked a bit embarrassed. He’d thought she was in the same year as him—he hadn’t expected to show off in front of a senior.

He was just about to apologize when a loud cough came from the row in front of them.

Realizing that their conversation had disturbed others, Sarah Brooks blushed, stuck out her tongue, and, hugging her workbook and scratch paper, returned to her seat.

Now William Carter didn’t even have a chance to apologize, let alone ask for her name or WeChat…