math - Proof big omega of 1^k+2^k+..+n^k -


question:

1^k + 2^k + ... + n^k big omega of n^(k+1) 1^k + 2^k + ... + n^k => cn^(k+1)

hi, need figure out how can prove this. trying avoid induction , proving simple possible.

use integrals. sum larger the

integral of x^k 0 n

and smaller

integral of x^k 1 n+1.

thus theta class. , c=1/(k+1).


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