JEE Math Practice Question
$$ \text { Let the function } f(x)=\left\{\begin{array}{cl} \frac{\log _{e}(1+5 x)-\log _{e}(1+\alpha x)}{x} & ;\text { if } x \neq 0 \\ 10 & ; \text { if } x=0 \end{array} \text { be continuous at } x=0 .\right. $$ Then $$\alpha$$ is equal to
- A.10
- B.$$-$$10
- C.5
- D.$$-$$5
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