Given that

\\\\Sigma _(n)=0^(\\\\infty )a_(n)(x-2)^(n)

is convergent at

x=-1

, select all the\ True statements\ below:\ A.

\\\\Sigma _(n)=0^(\\\\infty )a_(n)(x-2)^(n)

must be convergent at

x=0

.\ B.

\\\\sum_(n=0)^(\\\\infty ) a_(n)(x-2)^(n)

must be convergent at

x=4

.\ C.

\\\\Sigma _(n)=0^(\\\\infty )a_(n)(x-2)^(n)

must be convergent at

x=1

.\ D.

\\\\Sigma _(n)=0^(\\\\infty )n*a_(n)(x-2)^(n-1)

must be convergent at

x=6

.

Given that n=0an(x2)n is convergent at x=1, select all the True statements below: - A. n=0an(x2)n must be convergent at x=0. - B. n=0an(x2)n must be convergent at x=4. - C. n=0an(x2)n must be convergent at x=1. - D. n=0nan(x2)n1 must be convergent at x=6. Given that n=0an(x2)n is convergent at x=1, select all the True statements below: - A. n=0an(x2)n must be convergent at x=0. - B. n=0an(x2)n must be convergent at x=4. - C. n=0an(x2)n must be convergent at x=1. - D. n=0nan(x2)n1 must be convergent at x=6