Free Printable Límites 5

1.

Determine: $\lim_{t\rightarrow1}\left(at^2-bt\right)^2$

a)

$\left(a-b\right)$

b)

$\left(a+b\right)$

c)

$\left(a-b\right)^2$

d)

$\left(a+b\right)^2$

2.

Determine: $\lim_{x\rightarrow-1}\sqrt{u^2x^2+2xu+1}$

a)

$\sqrt{u^2+2u+1}$

b)

$\sqrt{u^2-2u+1}$

c)

$\sqrt{u^2+2u-1}$

d)

$\sqrt{u^2+u+1}$

3.

Determine: $\lim_{h\rightarrow0}\ \frac{\left(8+h\right)^2-64}{h}$

a)

$16$

b)

$8$

c)

$-8$

d)

$-16$

4.

Determine: $\lim_{h\rightarrow0}\ \frac{1}{h}\left[\left(1+h\right)^3-1\right]$

a)

$0$

b)

$1$

c)

$3$

d)

$6$

5.

Determine: $\lim_{h\rightarrow0}\ \frac{1}{h}\left[\frac{1}{x+h}-\frac{1}{x}\right]$

a)

$-\frac{1}{x^2}$

b)

$-\frac{1}{x}$

c)

$\frac{1}{x}$

d)

$\frac{1}{x^2}$

6.

Determine: $\lim_{h\rightarrow0}\ \frac{\sqrt{x+h}-\sqrt{x}}{h}$

a)

$-\frac{1}{2\sqrt{x}}$

b)

$-\frac{1}{\sqrt{x}}$

c)

$\frac{1}{\sqrt{x}}$

d)

$\frac{1}{2\sqrt{x}}$

7.

Determine: $\lim_{h\rightarrow1}\ \frac{\sqrt{h}-1}{h-1}$

a)

$-\frac{1}{2}$

b)

$-1$

c)

$1$

d)

$\frac{1}{2}$

Límites 5

Total questions: 7

Worksheet time: 31mins

Similar Resources on Wayground