If $f(x)= \begin{cases}\frac{8^x-4^x-2^x+1}{x^2}, & ext { if } x0 \ e^x \sin x+x+\lambda \log 4, & ext { if } x \leqslant 0\end{cases}$
is continuous at $x=0$ then the value of $1000 \mathrm{e}^\lambda=$

Question

If $f(x)= \begin{cases}\frac{8^x-4^x-2^x+1}{x^2}, & 	ext { if } x>0 \ e^x \sin x+x+\lambda \log 4, & 	ext { if } x \leqslant 0\end{cases}$
is continuous at $x=0$ then the value of $1000 \mathrm{e}^\lambda=$

Accepted Answer

Correct answer: C

More Limits Continuity And Differentiability questions