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Limits Continuity and Differentiability question

2021 · 25 Feb · Shift 2 · Q47

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JEE Main
Mathematics
Limits Continuity and Differentiability
2021 · 25 Feb · Shift 2 · Q47

Limits Continuity and Differentiability question

2021 · 25 Feb · Shift 2 · Q47

JEE MainMathematicsLimits Continuity and DifferentiabilityNumerical+4 / −1

If

\mathop {\lim }\limits_{x \to 0} {{ax - ({e^{4x}} - 1)} \over {ax({e^{4x}} - 1)}}

exists and is equal to b, then the value of a

-

2b is

\underline{\hspace{2cm}}

.

Numerical answer

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