If lim x → 0 (ax - (e⁴ˣ - 1))/(ax(e⁴ˣ - 1)) exists and is equal to b, then the value of a - 2b is _ _ _ _ _.

Limit, Continuity and Differentiability: JEE Main 2021 Mathematics question

JEE Main 2021 · 25 Feb, Evening shift · Q40

JEE Main 202125 Feb, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

\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 __________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2021 · 25 Feb, Evening shift · Q40

JEE Main 202125 Feb, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

\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 __________.

Your answerType your answer. Integers and decimals are accepted.