A) \[-\frac{1}{2}\]
B) \[\frac{1}{2}\]
C) \[1\]
D) \[-1\]
Correct Answer: A
Solution :
\[\underset{x\to \frac{\pi }{4}}{\mathop{\lim }}\,f(x)=\underset{x\to \frac{\pi }{4}}{\mathop{\lim }}\,\frac{1-\tan x}{4x-\pi }\] \[\left( form\frac{0}{0} \right)\] \[=\underset{x\to \frac{\pi }{4}}{\mathop{\lim }}\,\frac{-{{\sec }^{2}}x}{4}=-\frac{1}{2}\]You need to login to perform this action.
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