## 10 Questions

What is the value of $\lim_{x \to 0} \frac{\ln(1+x)}{x}$?

What is the value of $\lim_{x \to \infty} \frac{x^2 + 3x - 2}{5x^2 + 3x}$?

If $P_n(x) = a_0x^n + a_1x^{n-1} + \ldots + a_n$, what is $\lim_{x \to a} P_n(x)$?

What is $\lim_{x \to 0} \frac{\csc(x) - \cot(x)}{x}$?

What is $\lim_{x \to 1} \frac{x^3 - x}{x^2 - 1}$?

What is the limit of $\frac{x^2+1}{x^3+x}$ as $x$ approaches $0$?

What is the limit of $x ext{sin}(1/x)$ as $x$ approaches $0$?

What is the limit of $x^2 ext{cos}(1/x)$ as $x$ approaches $0$?

What is the limit of $(1+x)^{1/x}$ as $x$ approaches $0$?

If $P_n(x) = a_0 + a_1x + a_2x^2 + ... + a_nx^n$, then what is the limit of $P_n(x)$ as $x$ approaches $a$?

## Description

Test your understanding of calculus with this quiz on evaluating limits. Practice finding the limits of various functions and expressions, and sharpen your calculus skills.