Alternating sum
- Tolaso J Kos
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Alternating sum
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?
a) Does the limit of \( f(x) \) as \( x \) approaches one , exist?
b) how does the series behave when \( x \) approaches one?
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