Limits of Functions (including one-sided limits)

Practice Questions

AP Calculus AB › Limits of Functions (including one-sided limits)

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1

Find the derivative of

$f(x)=4(x^{3}-2x+11)(x-2)$

2

Find the derivative of

$f(x)=4(x^{3}-2x+11)(x-2)$

3

Find the derivative.

y = sec (5x3)

4

Discgraph

True or false: In the above graph of , the value of $\lim_{x\rightarrow -4}f(x)$ is 3.

5

Wolframalpha--plot_piecewisexxlt03-x0ltxlt213-xxgt2--2013-09-10_1008

What is the $\lim _{x\rightarrow -1} f(x)$ ?

6

Wolframalpha--plot_piecewisexxlt03-x0ltxlt213-xxgt2--2013-09-10_1008

What is the $\lim _{x\rightarrow -1} f(x)$ ?

7

Find the derivative.

y = sec (5x3)

8

Discgraph

True or false: In the above graph of , the value of $\lim_{x\rightarrow -4}f(x)$ is 3.

9

Evaluate the following limit:

$\lim_{x\rightarrow \pi}\frac{cos(x)+1}{sin(x)}$

10

Discgraph

In the above graph of , evaluate the following limits:

$\lim_{x\rightarrow 4^+} f(x)$

$\lim_{x\rightarrow 4^-} f(x)$

$\lim_{x\rightarrow 4} f(x)$

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