Q68 / 125 · BITSAT 2013 · Mathematics
If $y=1+x+\frac{x^{2}}{2 !}+\frac{x^{3}}{3 !}+\ldots . \infty,$ then $\frac{d y}{d x}$ is equal to
- A$x$
- B1
- Correct answerC$y$
- DNone of these
Solution
$y=e^{x} \Rightarrow \frac{d y}{d x}=e^{x}=y$
Hence, the correct answer is option: 'C'.