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How can I know what a summation of series will eventually converge to? For example, in this series:
\[\sum _{ i=1 }^{ n }{ { 2 }^{ i1 } } \]
What are the steps I should take to know that it will eventually converge into what equation?
 2 years ago
 2 years ago
How can I know what a summation of series will eventually converge to? For example, in this series: \[\sum _{ i=1 }^{ n }{ { 2 }^{ i1 } } \] What are the steps I should take to know that it will eventually converge into what equation?
 2 years ago
 2 years ago

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FoolForMathBest ResponseYou've already chosen the best response.0
Hint: This is a geometric series
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
another hint, 2>1, so convergence is unlikely
 2 years ago

xEnOnnBest ResponseYou've already chosen the best response.0
Thanks for the hints. By the way, it does converge. It converges to \[2^n1\]
 2 years ago

xEnOnnBest ResponseYou've already chosen the best response.0
But of course, if the series goes to infinity, then it wouldn't converge.
 2 years ago

FoolForMathBest ResponseYou've already chosen the best response.0
How can a finite series don't converge?
 2 years ago
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