Let $g\left( x \right) = \frac{{{{\tan }^3}x - \tan x}}{{\cos \left[ {x + \left( {\pi /4} \right)} \right]}}$ then $\mathop {\lim }\limits_{x \to \frac{\pi }{4}} g\left( x \right)$ is

JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

Let

g\left( x \right) = \frac{{{{\tan }^3}x - \tan x}}{{\cos \left[ {x + \left( {\pi /4} \right)} \right]}}

then

\lim\limits_{x \to \frac{\pi }{4}} g\left( x \right)

View answer and explanation

Correct option: C

-4

Option C (-4) is correct because after simplifying the trigonometric expression and taking the limit as x approaches pi/4, the result is -4.

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