If......... | Sequences and Series

JEE Main 2020

02-09-2020 S1

Question

If $|x|<1,|y|<1$ and $x \neq y$, then the sum to infinity of the following series $(x+y)+\left(x^2+x y+y^2\right)+\left(x^3\right. \left.+x^2 y+x y^2+y^3\right)+\ldots$. is:

Select the correct option:

$\frac{x+y+x y}{(1+x)(1+y)}$

$\frac{x+y-x y}{(1-x)(1-y)}$

$\frac{x+y-x y}{(1+x)(1+y)}$

$\frac{x+y+x y}{(1-x)(1-y)}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

Start Preparing for JEE with Competishun

Report Issue