Sincelimk+2k+1xk+12kxk = 2
Chapter 9, Problem 2(choose chapter or problem)
Since
\(\lim _{k \rightarrow+\infty}\left|\frac{2^{k+1} x^{k+1}}{2^{k} x^{k}}\right|=2|x |\)
the radius of convergence for the infinite series \(\Sigma_{k=0}^{\infty} 2^{k} x^{k}\) is ______.
Equation Transcription:
Text Transcription:
Lim_k right arrow + infinity |2^k+1 x^k+½^k x^k = 2|x|
sum_k=0^ infinity 2^k x^k
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