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GATE Mechanical 2014 Set 1 | Question: 2
$\displaystyle{} \lim_{x\rightarrow 0}\dfrac{x- \sin x}{1- \cos x}$ is $0$ $1$ $3$ not defined
$\displaystyle{} \lim_{x\rightarrow 0}\dfrac{x- \sin x}{1- \cos x}$ is$0$$1$$3$not defined
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GATE ME 2013 | Question: 47
The value of the definite integral $\int_{1}^{e}\sqrt{x}\ln(x)dx$ is $\dfrac{4}{9}\sqrt{e^3}+\dfrac{2}{9} \\$ $\dfrac{2}{9}\sqrt{e^3}-\dfrac{4}{9} \\$ $\dfrac{2}{9}\sqrt{e^3}+\dfrac{4}{9}\\$ $\dfrac{4}{9}\sqrt{e^3}-\dfrac{2}{9}$
The value of the definite integral $\int_{1}^{e}\sqrt{x}\ln(x)dx$ is$\dfrac{4}{9}\sqrt{e^3}+\dfrac{2}{9} \\$$\dfrac{2}{9}\sqrt{e^3}-\dfrac{4}{9} \\$$\dfrac{2}{9}\sqrt{e^3...
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GATE ME 2013 | Question: 25
Choose the CORRECT set of functions, which are linearly dependent. $\sin x , \sin^2 x$ and $\cos^2 x$ $\cos x , \sin x$ and $\tan x$ $\cos 2x, \sin^2 x$ and $\cos^2 x$ $\cos 2x , \sin x$ and $cos x$
Choose the CORRECT set of functions, which are linearly dependent.$\sin x , \sin^2 x$ and $\cos^2 x$$\cos x , \sin x$ and $\tan x$$\cos 2x, \sin^2 x$ and $\cos^2 x$$\cos ...
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