beljuA

2021-02-25

Find all values of x for which the series converges. For these values of x, write the sum of the series as a function of x.

$\sum _{n=1}^{\mathrm{\infty}}(3x{)}^{n}$

tabuordg

Skilled2021-02-26Added 99 answers

Consider the series

Consider a G.P series

Series is convergent for

Sum of this infinite series is given by

The given series is a Geometric progression with the

first term

common ratio

The given series is convergent for

Sum of the series

for

Here

Answer:

Series is convergent for

Sum of the series is

Jeffrey Jordon

Expert2021-12-27Added 2575 answers

Answer is given below (on video)