Let f:(−π/4,π/4) → R be defined... | Continuity & Differentiability | JEE Main 2021

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JEE MAIN 2021

27-07-21 S1

Question

Let $f:\left(-\frac{\pi}{4}, \frac{\pi}{4}\right) \rightarrow R$ be defined as $f(x)=\left\{\begin{array}{cc}(1+|\sin x|)^{\frac{3 a}{|\sin x|}}, & -\frac{\pi}{4} If $f$ is continuous at $x=0$, then the value of $6 a+b^2$ is equal to:

Select the correct option:

A

1 - e

B

e - 1

C

1 + e

D

e

✓ Correct! Well done.

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