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Basic Cal Q3 Post Test 2

Total questions: 15

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

What is limx2(x54x3+3x+1)\lim_{x\rightarrow2}\left(x^5-4x^3+3x+1\right)   ?

a)

1

b)

7

c)

38

d)

71

2.

Evaluate limx4x2x4\lim_{x\rightarrow4}\frac{\sqrt[]{x}-2}{x-4}   .

a)

undefined

b)

14\frac{1}{4}  

c)

12\frac{1}{2}  

d)

0

3.

What is limx31x3\lim_{x\rightarrow3}\frac{1}{x^3}   ?

a)

0

b)

127\frac{1}{27}  

c)

13\frac{1}{3}  

d)

3

4.

What is the limit of g(x)=x42x3+x23g\left(x\right)=x^4-2x^3+x^2-3   as x approaches -1 ?

a)

-7

b)

-3

c)

1

d)

5

5.

This is the graph of h(x)=tan3 xx3h\left(x\right)=\frac{\tan^3\ x}{x^3}   . What is limx0h(x)\lim_{x\rightarrow0}h\left(x\right)   ?

a)

DNE

b)

0

c)

1

d)

2

6.

What is the limit of f(x)=x225x+5f\left(x\right)=\frac{x^2-25}{x+5}   as x approaches -5 ?

a)

-10

b)

0

c)

5

d)

10

7.

Refer to the function defined by g(x)=x29x+3g\left(x\right)=\frac{x^2-9}{x+3}  . Evaluate limx3g(x)\lim_{x\rightarrow-3}g\left(x\right)  .

a)

DNE

b)

-6

c)

6

d)

9

8.

Refer to the function defined by g(x)=x29x+3g\left(x\right)=\frac{x^2-9}{x+3}  . What value of x the function has a hole?

a)

-9

b)

-6

c)

-3

d)

9

9.

What is limx0sin2 x2x\lim_{x\rightarrow0}\frac{\sin^2\ x}{2x}   ?

a)

0

b)

12\frac{1}{2}  

c)

1

d)

2

10.

What is limx27x3\lim_{x\rightarrow-27}\sqrt[3]{x}  

a)

undefined

b)

-3

c)

0

d)

1

11.

Evaluate limx53x\lim_{x\rightarrow5}3^x  .

a)

3

b)

9

c)

81

d)

243

12.

What is limx0x3+2x23x+5x23\lim_{x\rightarrow0}\frac{x^3+2x^2-3x+5}{x^2-3}  ?

a)

-3

b)

53-\frac{5}{3}  

c)

53\frac{5}{3}  

d)

5

13.

This is the graph of f(x)=sin xsin 4xf\left(x\right)=\frac{\sin\ x}{\sin\ 4x}  . What is limx0f(x)\lim_{x\rightarrow0}f\left(x\right)  ?

a)

18\frac{1}{8}  

b)

15\frac{1}{5}  

c)

14\frac{1}{4}  

d)

4

14.

Find limx0(x2)24x\lim_{x\rightarrow0}\frac{\left(x-2\right)^2-4}{x}  .

a)

-4

b)

-1

c)

0

d)

2

15.

The graph shows f(x)=log xf\left(x\right)=\log\ x  . What is limx1log x\lim_{x\rightarrow1}\log\ x  

a)

-1

b)

0

c)

1

d)

\infty