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Basic Calculus Session 4

Total questions: 9

Worksheet time: 13mins

Name
Class
Date
1.

Evaluate:
 lim⁡x→−∞ (x2−10)\lim_{x\rightarrow-\infty}\ \left(x^2-10\right)  

a)

negative infinity

b)

1

c)

0

d)

positive infinity

2.

Evaluate lim⁡x→∞(100−x)\lim_{x\rightarrow\infty}\left(100-x\right)  

a)

1

b)

0

c)

Positive Infinity

d)

Negative Infinity

3.

Evaluate lim⁡x→∞(12−x2−x)\lim_{x\rightarrow\infty}\left(\sqrt{12-x^2-x}\right)  

a)

Negative Infinity

b)

0

c)

Positive Infinity

d)

1

4.

Evaluate lim⁡x→−∞(5x2−3x+105x2−4x+3)\lim_{x\rightarrow-\infty}\left(\frac{5x^2-3x+10}{5x^2-4x+3}\right)  

a)

1

b)

0

c)

Positive Infinity

d)

Negative Infinity

5.

Evaluate lim⁡x→∞(4x5−2x3+4x+93x3−2x2+x−20)\lim_{x\rightarrow\infty}\left(\frac{4x^5-2x^3+4x+9}{3x^3-2x^2+x-20}\right)  

a)

4/3

b)

Positive Infinity

c)

Negative Infinity

d)

0

6.

Evaluate: lim⁡x→−∞(15x10−8x7+5x5−12x2−10x−63x11−12x5+20x3+12x−20)\lim_{x\rightarrow-\infty}\left(\frac{15x^{10}-8x^7+5x^5-12x^2-10x-6}{3x^{11}-12x^5+20x^3+12x-20}\right)  

a)

0

b)

5

c)

Positive Infinity

d)

Negative Infinity

7.

Evaluate lim⁡x→−∞(2x5−3x2+5x−2016x−24)\lim_{x\rightarrow-\infty}\left(\frac{2x^5-3x^2+5x-20}{16x-24}\right)  

a)

Positive Infinity

b)

0

c)

1/8

d)

Negative Infinity

8.

Evaluate lim⁡x→−∞(x2−x−42x−7)\lim_{x\rightarrow-\infty}\left(\frac{x^2-x-42}{x-7}\right)  

a)

0

b)

1

c)

Positive Infinity

d)

Negative Infinity

9.

Evaluate lim⁡x→−∞ (200−x)\lim_{x\rightarrow-\infty}\ \left(200-x\right)  

a)

Negative Infinity

b)

0

c)

200

d)

Positive Infinity