Mht Cet
Limits Continuity And Differentiability
MHT CET 2025 19th April Morning Shift
MCQ+2 / -02025
If $\mathrm{f}(x)$ is continuous at point $x=0$ where
$$ f(x)=\left\{\begin{array}{cc} \frac{3 \sin x+5 \tan x}{\mathrm{a}^x-1} & , x<0 \\ \frac{2}{\log 2} & , x=0 \\ \frac{8 x+2 x \cos x}{\mathrm{~b}^x-1} & , x>0 \end{array}\right. $$
then the values of a and b , respectively, are __________
$$ f(x)=\left\{\begin{array}{cc} \frac{3 \sin x+5 \tan x}{\mathrm{a}^x-1} & , x<0 \\ \frac{2}{\log 2} & , x=0 \\ \frac{8 x+2 x \cos x}{\mathrm{~b}^x-1} & , x>0 \end{array}\right. $$
then the values of a and b , respectively, are __________
