Find a formula for the nth partial sum of the series and use it to find the seriesʹ sum if the series converges. 1) I have no idea how to do this one. I missed it on the test and it might show up on the final
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The 'key' is the identity... (1) Kind regards
i'm still not getting it
Originally Posted by krzyrice Find a formula for the nth partial sum of the series and use it to find the seriesʹ sum if the series converges. 1) I have no idea how to do this one. I missed it on the test and it might show up on the final Now, find the limit as k tends to infinity.
thanks makes sense now
Originally Posted by krzyrice Find a formula for the nth partial sum of the series and use it to find the seriesʹ sum if the series converges. 1) I have no idea how to do this one. I missed it on the test and it might show up on the final Surely this is . Using partial fractions: . So and . Therefore we can write the sum as This is a telescoping series, so all terms except the first and last will cancel. So the partial sum is . Therefore, the sum of the series is .
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