AP Calculus BC : 1.4 Estimating Limit  Values from Tables- Exam Style questions with Answer- MCQ

Question

The table above gives values of the function 

f

at selected values of 

x

. Which of the following statements must be true?

A

B

C does not exist.

D cannot be definitively determined from the data in the table.

Answer/Explanation

Ans:D

 

Question

The table above gives values of a function f at selected values of 

x

. Which of the following conclusions is supported by the data in the table?

A

B

C

D

Answer/Explanation

Ans:C

The data in the table suggest that as x approaches 5 from the right, the values of

f(x

 

Question

The table above gives selected values for a continuous function

f

. Based on the data in the table, which of the following is the best approximation for

?

A 0

B 4

C 7

D There is no best approximation, because the limit does not exist.

Answer/Explanation

Ans:C

 As

x

approaches 4 from the left and from the right, it appears that the values of 

f(x)

 

Question

Find the limit:\(\lim_{t\rightarrow -3}\frac{t+3}{t^{2}+9}\)

(A) \(-\frac{1}{3}\)
(B) 0
(C)\(\frac{1}{3}\)
(D) 1

Answer/Explanation

Ans:B

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