# GATE2014-4

The limit of the function $e^{-2t}\sin (t)$ as t $\rightarrow\infty$ so, is
in Calculus
retagged

## Related questions

1
The value of $\underset{x \to 0} \lim \left [ \dfrac{x- \sin 2x}{x-\sin 5x} \right]$ (rounded off to two decimal places) is __________
2
The solution of $\underset{x\rightarrow 8 }\lim\left ( \dfrac{x^{2}-64}{x-8} \right )$ is _____________.
The limit of the function $\bigg (1 + \dfrac{x}{n} \bigg )^n$ as $n \to \infty$ is $\ln x$ $\ln \dfrac{1}{x}$ $e^{-x}$ $e^x$
Evaluate $\underset{x\rightarrow\infty }{\lim}x\tan\frac{1}{x}$ $\infty$ $1$ $0$ $-1$
If $y =x^x$, then $\frac{dy}{dx}$ is $x^x(x-1)$ $x^{x-1}$ $x^x(1 + \log x)$ $e^x(1 + \log x)$