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GATE BT 2021 | Question: 20
go_editor
asked
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Calculus
Mar 1, 2021
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Apr 11, 2021
by
Lakshman Patel RJIT
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The sum of the infinite geometric series $1 + 1/3 + 1/3^2+ 1/3^3+ \dots$ (rounded off to one decimal place) is ___________
gatebt-2021
numerical-answers
calculus
sequences-and-series
infinite-geometric-series
go_editor
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in
Calculus
Mar 1, 2021
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Apr 11, 2021
by
Lakshman Patel RJIT
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Answer:
1.5 : 1.5
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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 __________
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GATE BT 2021 | Question: 41
If the area of a triangle with the vertices $(k,0), (2,0)$ and $(0, -2)$ is $2$ square units, the value of $k$ is _________
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GATE BT 2021 | Question: 49
Calculate the following integral $\int \limits_0^{\pi^2/4} \sin \sqrt{x} dx =$____________.
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GATE BT 2021 | Question: 5
The Cartesian coordinates $(x,y)$ of a point $A$ with polar coordinates $\left ( 4, \pi/4 \right)$ is $ \left( \sqrt{3}, 2 \sqrt{2} \right ) \\$ $ \left( 2, 2 \sqrt{3} \right ) \\$ $ \left( 2\sqrt{2}, \sqrt{3} \right ) \\$ $ \left( 2 \sqrt{2}, 2 \sqrt{2} \right )$
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GATE BT 2021 | Question: 8
$\dfrac{d}{dx} \left [ \ln (2x) \right ]$ is equal to $1/2x \\$ $1/x \\$ $1 /2 \\$ $x$
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