JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumLimit, Continuity and Differentiability420× since 2002Let f(x)={(1+ax)1/x,x<0,1+b,x=0,x+4−2x+c3−2,x>0f(x)=\begin{cases}(1+ax)^{1/x},&x<0,\\1+b,&x=0,\\\displaystyle\frac{\sqrt{x+4}-2}{\sqrt[3]{x+c}-2},&x>0\end{cases}f(x)=⎩⎨⎧(1+ax)1/x,1+b,3x+c−2x+4−2,x<0,x=0,x>0 be continuous at x=0x=0x=0. Then eabce^a b ceabc is equal to:AOption A. 64BOption B. 72COption C. 48DOption D. 36CheckSkip · show solution
