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limits part 2

Total questions: 12

Worksheet time: 3600secs

Name
Class
Date
1.
a)
0/0
b)
1/2
c)
1/4
d)
-1/4
2.
a)
1
b)
Does not exist
c)
0
d)
-1
3.

Find the limits above

a)

0

b)

1

c)

-1

4.
a)

0

b)

3

c)

1

d)

Does not exist

5.

Find the limit for

limx3  1x\lim_{x\rightarrow3}\ \ \frac{1}{x}

a)

0.66666

b)

1/3

c)

-1/3

d)

-0.66666

6.

Find the limit for

limxe(1+lnx)\lim_{x\rightarrow e}\left(1+\ln x\right)

a)

1

b)

2

c)

3

d)

4

7.

Find the limit: If f(x)=5, then limxπ f(x)=If\ f\left(x\right)=5,\ then\ \lim_{x\rightarrow\pi}\ f\left(x\right)=

a)

π\pi

b)

5

c)

0

d)

1

8.

Solve: limxπ(x227)=\lim_{x\rightarrow\pi}\left(x-\frac{22}{7}\right)=

a)

π227\pi-\frac{22}{7}

b)

π\pi

c)

0

d)

7x227\frac{7x-22}{7}

9.

Solve the limit: limh0[(h+1)21h]\lim_{h\rightarrow0}\left[\frac{\left(h+1\right)^2-1}{h}\right]

a)

2

b)

0

c)

-1

d)

does not exist

10.

What is limx3(x13)\lim_{x\rightarrow3}\left(x^{\frac{1}{3}}\right) ?

a)

23\frac{\sqrt[]{2}}{3}

b)

23\sqrt[3]{2}

c)

3\sqrt[]{3}

d)

33\sqrt[3]{3}

11.

Solve: limx9(x3x9)\lim_{x\rightarrow9}\left(\frac{\sqrt[]{x}-3}{x-9}\right)

a)

0

b)

13-\frac{1}{3}

c)

16\frac{1}{6}

d)

does not exist

12.

What is the limit?

a)

-1/4

b)

6/4

c)

11/4

d)

undefined