JEE Main 202229 Jul, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002 Let the function f(x)={loge(1+5x)−loge(1+αx)x; if x≠010; if x=0 be continuous at x=0.\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. Let the function f(x)={xloge(1+5x)−loge(1+αx)10; if x=0; if x=0 be continuous at x=0. Then α\alphaα is equal toAOption A. 10BOption B. −-−10COption C. 5DOption D. −-−5CheckSkip · show solution
