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Recent questions tagged limits

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GATE BT 2021 | Question: 23
The value of $\underset{x \to 0} \lim \left [ \dfrac{x- \sin 2x}{x-\sin 5x} \right]$ (rounded off to two decimal places) is __________
The value of $\underset{x \to 0} \lim \left [ \dfrac{x- \sin 2x}{x-\sin 5x} \right]$ (rounded off to two decimal places) is __________
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GATE2019: 21
The solution of $ \underset{x\rightarrow 8 }\lim\left ( \dfrac{x^{2}-64}{x-8} \right )$ is _____________.
The solution of $ \underset{x\rightarrow 8 }\lim\left ( \dfrac{x^{2}-64}{x-8} \right )$ is _____________.
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GATE2015-42
The limit of the function $\bigg (1 + \dfrac{x}{n} \bigg )^n$ as $n \to \infty$ is $\ln x$ $\ln \dfrac{1}{x}$ $e^{-x}$ $e^x$
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}$$e^x$
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4
GATE2014-4
The limit of the function $e^{-2t}\sin (t)$ as t $\rightarrow\infty$ so, is
The limit of the function $e^{-2t}\sin (t)$ as t $\rightarrow\infty$ so, is
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GATE2013-38
Evaluate $\underset{x\rightarrow\infty }{\lim}x\tan\frac{1}{x}$ $\infty$ $1$ $0$ $-1$
Evaluate $\underset{x\rightarrow\infty }{\lim}x\tan\frac{1}{x}$$\infty$$1$$0$$-1$
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