Mathematics · 2022
JEE Main · 29 July 2022, Shift 2 · Q4
Let the function f(x)= {(log_e(1+5 x)- log_e(1+α x))/x; if x ≠ 0; 10; if x=0} be continuous at x=0. Then α is equal to
Let the function $\displaystyle f(x)=\left\{\begin{array}{cl}\frac{\log _e(1+5 x)-\log _e(1+\alpha x)}{x} & ; \text { if } x \neq 0 \\ 10 & ; \text { if } x=0\end{array}\right.$ be continuous at $\displaystyle x=0$.
Then $\displaystyle \alpha$ is equal to
Official answer
(4)
$\displaystyle -5$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.