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Limits Continuity and Differentiability question

2022 · 29 Jul · Shift 2 · Q26

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JEE Main
Mathematics
Limits Continuity and Differentiability
2022 · 29 Jul · Shift 2 · Q26

Limits Continuity and Differentiability question

2022 · 29 Jul · Shift 2 · Q26

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

\text { Let the function } f(x)=\left\{\begin{array}{cl} \frac{\log _{e}(1+5 x)-\log _{e}(1+\alpha x)}{x} & ;\text { if } x eq 0 \\ 10 & ; \text { if } x=0 \end{array} \text { be continuous at } x=0 .\right.

Then

\alpha

is equal to

A
10
B
$-$ 10
C
5
D
$-$ 5

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