Provide an Appropriate Response $1 - \frac { x ^ { 2 } } { 2 } < \frac { \sin x } { x } < 1$

question 38

Multiple Choice

Provide an appropriate response.
-The inequality $1 - \frac { x ^ { 2 } } { 2 } < \frac { \sin x } { x } < 1$ holds when $x$ is measured in radians and $| x | < 1$ . Find $\lim _ { x \rightarrow \theta } \frac { \sin x } { x }$ if it exists.

• A) 0
• B) 1
• C) does not exist
• D) \(0.0007\)

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