Mathematical Equations

1.

limit as x goes to infinity of the quantity 1 plus x all raised to the power of 5 divided by x

Use your graphing calculator to evaluate  . (2 points)

a. e5

b. 0

c. π

d. 1

2.Use your calculator to select the best answer below:

limit as x goes to infinity of the quotient of 10 raised to the x power and the quantity negative e raised to the x power

a. 1

b. −1

c. 0

d. does not exist

 3.

the limit as x goes to 0 of the quotient of the quantity x plus 1 minus the square of cosine x and 3 times the sine of x

Find  . (2 points)

a. does not exist

b. 3

c. 0

d. 1/3

4.

limit as x approaches zero of f of x equals three
limit as x approaches zero of g of x equals one
limit as x approaches zero of the quantity f of x plus g of x squared

If  and  , then find  . (2 points)

a. 40

b.-4

c. 16

d. 28

question 5

limit as x approaches 0 of the quotient of the absolute value of x and x

Evaluate  . (2 points)

a. 0

b. does not exist

c. 1

d. -1

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