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Student Solution Manual for Mathematical Methods for Physics and Engineering, Third Edition by M. P. Hobson, K. F. Riley

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4

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Series and limits

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4.1  Sum the even numbers between 1000 and 2000 inclusive.

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  We must first express the given sum in terms of a summation for which we have an explicit form. The result that is needed is clearly

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and we must re-write the given summation in terms of sums of this form:

4.3  How does the convergence of the series

depend on the integer ...

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