Hi All, I'm unable to find the exact steps to find out the answer of the following q? (1^p+2^p+.....+n^p) Limit --------------------- n->~(infinity) (n^(p+1)) Thanks in advance. Arun Sangal 91-9811514096 arun.sangal@galileo.com
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Originally Posted by sangal_ak04 Hi All, I'm unable to find the exact steps to find out the answer of the following q? (1^p+2^p+.....+n^p) Limit --------------------- n->~(infinity) (n^(p+1)) Thanks in advance. Arun Sangal 91-9811514096 arun.sangal@galileo.com There is a general formula to add, The coefficients follow Bernoulli numbers and get messy. However the first ceofficient is simply . So we have, . And this limit is therefore, .
Use the Stolz-Cesaro criteria. Let . is ascendind and unbounded. We calculate So .
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