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GATE2013-38
Milicevic3306
asked
in
Calculus
Mar 26, 2018
recategorized
Mar 18, 2021
by
Lakshman Patel RJIT
0
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0
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Evaluate $\underset{x\rightarrow\infty }{\lim}x\tan\frac{1}{x}$
$\infty$
$1$
$0$
$-1$
gate2013
calculus
limits
Milicevic3306
asked
in
Calculus
Mar 26, 2018
recategorized
Mar 18, 2021
by
Lakshman Patel RJIT
by
Milicevic3306
7.9k
points
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Answer:
B
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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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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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