Evaluate the limit: $\underset{h\to 0}{lim}\frac{{(2+h)}^2-4}{h}$

Which of the following is true about the graph of $y=\ln |x^2-1|$ in the interval $(-1,1)$?

Which of the following functions is continuous on the interval $(0,1)$?

If a function $f$ is continuous on $(-\infty ,\infty )$, which of the following statements is true about its graph?

Given that the definite integral from $0$ to $\pi$ of ${\sin }^4\left(x\right)$ $dx$ equals $\frac{3\pi }{8}$, what is the value of the definite integral from $0$ to $\pi$ of ${\sin }^4(\pi -x)$ $dx$?

Given that $f^{\left(n\right)}\left(0\right)$ = $(n+1)!$ for $n=0,1,2,\dots$, which of the following is the Maclaurin series for $f\left(x\right)$?

Given a table of values for a function $f(x,y)$, which of the following best describes how to estimate the mixed partial derivative $f_{xy}(3,2)$?

Use the ratio test to determine whether the series $\sum _{n=1}^{\infty }\frac{\left(n\right)!}{n^n}$ converges or diverges.

Given a curve $C$ and a contour map of a function $f$ whose gradient is continuous, which of the following statements is true about the direction of the gradient vector of $f$ at a point on $C$?