Question

The limit
$\lim\limits_{a\rightarrow0}\left(\frac{\int\limits_{0}^{a}\sin(x^2)dx}{\int\limits_{0}^{a}(\ln(x+1))^2dx}\right)$
is

• A. 0
• B. 1
• C. $\frac{\pi}{e}$
• D. non-existent

Answer 1

Answer: (B)

1

Answer 2

The correct option is (B) : 1.