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Mathematics · 2021

JEE Main · 25 February 2021, Shift 2 · Q84

If lim_x → 0 (a x-( e^4 x-1))/(a x( e^4 x-1)) exists and is equal to b, then the value of a - 2b is \ \ \ \.

If $\displaystyle \lim _{x \rightarrow 0} \frac{\mathrm{a} x-\left(\mathrm{e}^{4 x}-1\right)}{\mathrm{a} x\left(\mathrm{e}^{4 x}-1\right)}$ exists and is equal to b, then the value of a - 2b is \_\_\_\_.
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.