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Limits Continuity and Differentiability question

2023 · 25 Jan · Shift 2 · Q26

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JEE Main
Mathematics
Limits Continuity and Differentiability
2023 · 25 Jan · Shift 2 · Q26

Limits Continuity and Differentiability question

2023 · 25 Jan · Shift 2 · Q26

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

If the function

f(x) = \left\{ \begin{matrix} (1 + |\cos x|)^{\frac{\lambda}{|\cos x|}} & , & 0 \lt x \lt \frac{\pi}{2} \\ \mu & , & x = \frac{\pi}{2} \\ e^{\frac{\cot 6x}{\cot 4x}} & , & \frac{\pi}{2} \lt x \lt \pi \end{matrix} \right.

is continuous at

x = \frac{\pi}{2}

, then

9\lambda + 6\log_e \mu + \mu^6 - e^{6\lambda}

is equal to

A
11
B
10
C
8
D
2e $^4$ + 8

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