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← JEE Main 2022 · 29 Jul · Shift 2
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JEE Main 2022 · 29 Jul · Shift 2, Mathematics question 4

Let the function f(x)={log⁡e(1+5x)−log⁡e(1+αx)x; if x≠010; if x=0f(x)=\begin{cases}\dfrac{\log_e(1+5x)-\log_e(1+\alpha x)}x & ;\ \text{if } x\ne0\\ 10 & ;\ \text{if } x=0\end{cases} be continuous at x = 0. Then α is equal to

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Answer and worked solution

Official answer: D

Limit 5−α=105-\alpha=10, so α=−5\alpha=-5.

(D)

Topics:ContinuityLimits
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