AP Calculus AB: 4.7 Using L’Hospital’s Rule for Determining Limits of Indeterminate Forms

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

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

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

(D) nonexistent

▶️Answer/Explanation

Ans:B

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.

A $-\frac{1}{2}$

B 0

C 1

D $\frac{5}{3}$

E Nonexistent

▶️Answer/Explanation

Ans:E

$\lim_{x\rightarrow 0}\frac{2x^{6}+6x^{2}}{4x^{5}+3x^{3}}$

A 0

B $\frac{1}{2}$

C 1

D 2

E nonexistent

▶️Answer/Explanation

Ans:D

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