If a power series $\sum a_{k} x^{k}$ converges at x = c then it also converges at x = -c.

Name: If a power series $\sum a_{k} x^{k}$ converges at x = c then it also converges at x = -c.
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Question

Quizplus · Accepted Answer

The convergence of a power series at a specific point depends on the radius of convergence, which is determined by the coefficients $a_k$. Convergence at $x = c$ does not imply convergence at $x = -c$ unless the series converges for all $x$ within the radius of convergence.

If a Power Series ∑akxk\sum a_{k} x^{k}∑ak​xk Converges at X = C Then It Also Converges at =

If a Power Series $\sum a_{k} x^{k}$ Converges at X = C Then It Also Converges at =