Find the one-sided limit.
-$$\lim _ { x \rightarrow ( 3 \pi / 4 ) ^ { - } } \sin x$$
A) $\frac { 1 } { 2 }$
B) 0
C) $\frac { \sqrt { 2 } } { 2 }$
D) 1

Name: Find the one-sided limit. -\[\lim _ { x \rightarrow ( 3 \pi / 4 ) ^ { - } } \sin x\] A) $\frac { 1 } { 2 }$ B) 0 C) $\frac { \sqrt { 2 } } { 2 }$ D) 1
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Question

Quizplus · Accepted Answer

The sine of $3\pi / 4$ is $\frac{\sqrt{2}}{2}$. Since the sine function is continuous, the limit as $x$ approaches $3\pi / 4$ from the left is also $\frac{\sqrt{2}}{2}$.

Find the One-Sided Limit lim⁡x→(3π/4)−sin⁡x\lim _ { x \rightarrow ( 3 \pi / 4 ) ^ { - } } \sin xx→(3π/4)−lim​sinx

Find the One-Sided Limit $\lim _ { x \rightarrow ( 3 \pi / 4 ) ^ { - } } \sin x$