Question

$calculate \int_{0}^{\frac{\pi}{2}}\frac{x\ln{\cos(x)}}{\tan x}dx$

数列极限 题一

[题]：
$-\pi < x < \pi$ ,则 $\underbrace{sinsinsinsinsin}_{n个}x$ 是否存在？若存在，证明并求之；若不存在，说明理由。

求极限 题二

$\lim_{x \to \infty} \frac{tan^3{\frac{1}{x}}-arctan{\frac{2}{\sqrt[3]{x^4}}}}{sin{\frac{3}{x^3}}-arcsin{\frac{2019}{x}}}$

Normalization and Regularization

Normalization: usually rescales features to $[0,1]$.
Regularization: Different from the feature scaling techniques mentioned above, regularization is intended to solve the overfitting problem.