Prove that for every p>0, lim_(n->infty) int_n^(n+p) sin(x)/x=0

Anton Huynh

Anton Huynh

Answered question

2022-11-05

Prove that for every lim n n n + p sin ( x ) x = 0

Answer & Explanation

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x0xkatiex0xz6u

Beginner2022-11-06Added 11 answers

Note that for n>0
| n n + p sin ( x ) x d x | n n + p 1 x d x = ln ( n + p ) ln ( n ) = ln ( 1 + p n ) .

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