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go_editor asked Mar 1, 2021
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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soujanyareddy13 asked Nov 3, 2020
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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Milicevic3306 asked Mar 26, 2018
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}$$e^x$
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Milicevic3306 asked Mar 25, 2018
GATE2014-4
The limit of the function $e^{-2t}\sin (t)$ as t $\rightarrow\infty$ so, is
The limit of the function $e^{-2t}\sin (t)$ as t $\rightarrow\infty$ so, is
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Milicevic3306 asked Mar 25, 2018
GATE2013-18
If $u=\log (e^x+e^y),$ then $\frac{\partial u}{\partial x}+\frac{\partial u}{\partial y}=$ $e^x+e^y$ $e^x-e^y$ $\frac{1}{e^x+e^y}$ $1$
If $u=\log (e^x+e^y),$ then $\frac{\partial u}{\partial x}+\frac{\partial u}{\partial y}=$$e^x+e^y$$e^x-e^y$$\frac{1}{e^x+e^y}$$1$
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