AP Calculus AB: 4.7 Using L’Hospital’s Rule for Determining Limits  of Indeterminate Forms – Exam Style questions with Answer- MCQ

Question

\(\lim_{x\rightarrow \pi }\frac{cosx+sin(2x)+1}{x^{2}-\pi ^{2}} \)is

(A)\(\frac{1}{2\pi }\)

(B)\(\frac{1}{\pi }\)

(C)1

(D) nonexistent

▶️Answer/Explanation

Ans:B

Question

is

A 1

B \(\frac{1}{e}\)

C 0

D nonexistent 

▶️Answer/Explanation

Ans:D

Since and the indeterminate limit can be evaluated using L’Hospital’s Rule, as follows.

Question

A \(-\frac{1}{2}\)

B 0

C 1

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

E Nonexistent

▶️Answer/Explanation

Ans:E

Question

A 0

B \(\frac{1}{2}\)

C 1

D 2

E nonexistent

▶️Answer/Explanation

Ans:D

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