# GATE BT 2021 | Question: 20

The sum of the infinite geometric series $1 + 1/3 + 1/3^2+ 1/3^3+ \dots$ (rounded off to one decimal place) is ___________
in Calculus
recategorized

## Related questions

1
The value of $\underset{x \to 0} \lim \left [ \dfrac{x- \sin 2x}{x-\sin 5x} \right]$ (rounded off to two decimal places) is __________
2
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 _________
Calculate the following integral $\int \limits_0^{\pi^2/4} \sin \sqrt{x} dx =$____________.
The Cartesian coordinates $(x,y)$ of a point $A$ with polar coordinates $\left ( 4, \pi/4 \right)$ is $\left( \sqrt{3}, 2 \sqrt{2} \right ) \\$ $\left( 2, 2 \sqrt{3} \right ) \\$ $\left( 2\sqrt{2}, \sqrt{3} \right ) \\$ $\left( 2 \sqrt{2}, 2 \sqrt{2} \right )$
$\dfrac{d}{dx} \left [ \ln (2x) \right ]$ is equal to $1/2x \\$ $1/x \\$ $1 /2 \\$ $x$