How many terms of the series infinity E n =1 1/(1+n^2) must be added to estimate the sum within 0.01? struggling with this one.
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Originally Posted by rcmango How many terms of the series infinity E n =1 1/(1+n^2) must be added to estimate the sum within 0.01? struggling with this one. If you are going post these may I suggest LaTeX? Click on the "quote" button to see how I coded this. -Dan
Originally Posted by rcmango How many terms of the series infinity E n =1 1/(1+n^2) must be added to estimate the sum within 0.01? struggling with this one. As the summand is a monotonic decreasing positive function of n, we can bound the remainder as: So if we choose such that Then the error in the truncated series will be as required. RonL
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