Compute the limit or show it doesn't exist: \lim_{n \to

Caleb Snyder

Caleb Snyder

Answered question

2022-01-28

Compute the limit or show it doesn't exist: limn(sinn+1sinn)

Answer & Explanation

sainareon2

sainareon2

Beginner2022-01-29Added 10 answers

sinx<x
|sinx+1sinx||x+1x|=d1|x+1+x|0
Serifluinueyk

Serifluinueyk

Beginner2022-01-30Added 7 answers

Hint
Since sin is differentiable and |sinx|1 for all (real) x ,we have
|sinxsiny||xy|
Taking x=n+1 and y=n gives gives that the quantity sinn+1sinn whose limit were

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