Solved: ?Suppose that \(\sum_{n=0}^{\infty} c_{n} x^{n}\) converges when \(x=-4\) and
Chapter 11, Problem 38(choose chapter or problem)
Suppose that \(\sum_{n=0}^{\infty} c_{n} x^{n}\) converges when \(x=-4\) and diverges when \(x=6\). What can be said about the convergence or divergence of the following series?
(a) \(\sum_{n=0}^{\infty} c_{n}\) (b) \(\sum_{n=0}^{\infty} c_{n} 8^{n}\)
(c) \(\sum_{n=0}^{\infty} c_{n}(-3)^{n}\) (d) \(\sum_{n=0}^{\infty}(-1)^{n} c_{n} 9^{n}\)
Equation Transcription:
Text Transcription:
sum of n=0^infinity c_n x^2
x=-4
x=6
sum of n=0^infinity c_n
sum of n=0^infinity c_n 8^n
sum of n=0^infinity c_n (-3)^n
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