Alternating sum

Real Analysis
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Tolaso J Kos
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Alternating sum

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Post by Tolaso J Kos »

Consider the alternating series \( \displaystyle f(x)=x-x^2+x^4+\cdots +(-1)^nx^{2n} +\cdots\).

a) Does the limit of \( f(x) \) as \( x \) approaches one , exist?

b) how does the series behave when \( x \) approaches one?
Imagination is much more important than knowledge.
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