For the following statements, input T if true; otherwise enter F .

(a) $\lim_{ x \rightarrow +\infty } \frac{e^x}{x^n} =+\infty$ for any positive integer $n$.
Answer:

(b) $\lim_{ x \rightarrow +\infty } \frac{\ln x}{x^p} =0$ for any positive number $p$.
Answer:

(c) $\lim_{ x \rightarrow 0 } \frac{\sin x}{x} =1$.
Answer: