Limits

Practice Questions

Pre-Calculus › Limits

Page 1 of 5

10 of 44

1

Calculate $\lim_{x\rightarrow \infty }\left ( x^{2} \sin \frac{1}{ x^{2}-1} - \sin \frac{1}{ x^{2}-1} \right )$ .

2

Calculate $\lim_{x\rightarrow \infty }\left ( x^{2} \sin \frac{1}{ x^{2}-1} - \sin \frac{1}{ x^{2}-1} \right )$ .

3

Find the limit as x approaches infinity

$\lim_{x\rightarrow \infty }\frac{3x^3-5x^4+4}{14x^2+32x^3}$

4

Find the limit

$\lim_{x\rightarrow \frac{3}{2}}\frac{6x^2-5x-6}{2x-3}$

5

Find the limit as x approaches infinity

$\lim_{x\rightarrow \infty }\frac{3x^3-5x^4+4}{14x^2+32x^3}$

6

Find the limit

$\lim_{x\rightarrow \frac{3}{2}}\frac{6x^2-5x-6}{2x-3}$

7

Solve the following limit:

$\lim_{h\rightarrow 0}\frac{(x+h)^2-x^2}{h}$

8

Solve the following limit:

$\lim_{h\rightarrow 0}\frac{(x+h)^2-x^2}{h}$

9

Finding limits of rational functions.

Let

$f(x)=\frac{x^{2}-9}{x+3}$ .

Find

$\lim_{x\rightarrow -3}f(x)$ .

10

Finding limits of rational functions.

Let

$f(x)=\frac{x^{2}-9}{x+3}$ .

Find

$\lim_{x\rightarrow -3}f(x)$ .

Page 1 of 5

Return to subject