(a) Find the two possible values of x  .For each of your values of x ,(b) find the corresponding value of the common ratio of the series.Given that the series is convergent,(c ) find the sum to infinity of the series.

A geometric series has first term (11x−3), Second term (5x+3) and third term (3x−3) . (a) Find the two possible values of x  .For each of your values of x ,(b) find the corresponding value of the common ratio of the series.Given that the series is convergent,(c ) find the sum to infinity of the series.

1. Show that the following series do not converge:(a)∞Xn=1r n2(n + 1),

For which values of x does the power series converge?

Problem 2. For each of the following series, determine if it converges and prove your answer.(a)∞∑n=1n44n (b)∞∑n=1n!n4 + 3 (c)∞∑n=12nn!

Which of the following series is convergent