Practice Test

Question 1

Which statement compares the limit as x approaches negative 4 for the two graphs?

Revolt · Accepted Answer

C: In both graph I and graph II, the limit is  5 .

Question 2

Which statement relates limits to an asymptote of the function?

Revolt · Accepted Answer

B: The graph shows

limit x to plus or minus infinity of f times x is equal to 2

, so the function has a horizontal asymptote at  y is equal to 2 .

Question 3

For which value of x is the function continuous?

Revolt · Accepted Answer

B: negative 3

Question 4

What are the one-sided limits of g of x around the vertical asymptote x is equal to negative 1 ?

Revolt · Accepted Answer

B: limit x to negative 1 raised to the negative power of g times x is equal to negative infinity

and

limit x to negative 1 raised to the plus power of g times x is equal to infinity

Question 5

What is the limit, if it exists? limit x to 8 of j times x

Revolt · Accepted Answer

A: 0 point 7 5

Question 6

Which expression can be multiplied by the numerator and denominator to help evaluate the limit? limit x to negative 1 of the fraction with numerator square root of x minus 1 end root plus 1 and denominator x plus 1

Revolt · Accepted Answer

D: square root of x minus 1 end root minus 1

Question 7

What is the limit? limit x to 5 of open paren the fraction with numerator negative sine times open paren pi x over 3 close paren and denominator 3 close paren

Revolt · Accepted Answer

A: the fraction with numerator square root of 3 and denominator 6

Question 8

Consider the sequence 1 comma 3 comma 9 comma 27 comma 81 comma dot dot dot Which statement describes the sequence?

Revolt · Accepted Answer

C: The sequence diverges.

Question 9

Consider the function f of x is equal to the fraction with numerator x squared plus 11 x minus 12 and denominator x minus 1 Which statement describes the discontinuity at x is equal to 1 ?

Revolt · Accepted Answer

C: a removable discontinuity that can be removed by extending the function to include  f of 1 is equal to 13

Question 10

Which statement describes the series? the sum from n is equal to 1 to infinity of 2

Revolt · Accepted Answer

C: The series diverges and it does not have a sum.

Practice Test Answers

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