Solveeit Logo
Login

Question

Real Analysis Question on Sequences and Series

Let (an) be a sequence of real numbers such that the series ∑n=0∞an(x−2)n\sum\limits_{n=0}^{\infin}a_n(x-2)^n converges at x = −5. Then this series also converges at

A

x = 9

B

x = 12

C

x = 5

D

x = −6

Answer

x = 5

Explanation

Solution

The correct option is (C) : x = 5.