Find the indicated limit.
-$$\lim _ { x \rightarrow 0 } \frac { \sin ( x ) } { x ^ { 2 } }$$
A) $0.5$
B) 0
C) The limit does not exist.
D) 1

Name: Find the indicated limit. -\[\lim _ { x \rightarrow 0 } \frac { \sin ( x ) } { x ^ { 2 } }\] A) $0.5$ B) 0 C) The limit does not exist. D) 1
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Question

Quizplus · Accepted Answer

The limit as $x$ approaches 0 of $\frac{\sin(x)}{x^2}$ does not exist because the denominator approaches 0 much faster than the numerator, causing the fraction to grow without bound.

Find the Indicated Limit lim⁡x→0sin⁡(x)x2\lim _ { x \rightarrow 0 } \frac { \sin ( x ) } { x ^ { 2 } }x→0lim​x2sin(x)​

Find the Indicated Limit $\lim _ { x \rightarrow 0 } \frac { \sin ( x ) } { x ^ { 2 } }$