Home / AP Calculus BC : 1.5 Determining Limits Using Algebraic Properties of Limits- Exam Style questions with Answer- MCQ

AP Calculus BC : 1.5 Determining Limits Using Algebraic Properties of Limits- Exam Style questions with Answer- MCQ

Question

A \(\frac{1}{5}\)

B \(\frac{4}{5}\)

C 1

D nonexistent

Answer/Explanation

Ans:C

Question

If f is the function defined above, then

A 2

B 4

C 5

D nonexistent

Answer/Explanation

Ans:B

is the limit of

f(x)

as x approaches 1 from the left.

Question

The graphs of the functions 

f

and 

are shown above. The value of

A \(\frac{3}{5}\)

B \(\frac{7}{5}\)

C \(\frac{9}{5}\)

D  nonexistent

Answer/Explanation

Ans:C

Since and  the limit of the quotient is

Question

what is \(\lim_{h\rightarrow 0}\frac{8\left ( \frac{1}{2}+h \right )^{8}-8\left ( \frac{1}{2} \right )^{8}}{h}\)?
(A) 0                                         
(B)\(\frac{ 1}{2}\)                                     
(C) 1                         
(D) The limit does not exist.                 
(E) It cannot be determined from the information given.

Answer/Explanation

Ans:B

Scroll to Top