For each n E N, define a continuous function fn: [0, 1] R by 1+nx 2n-cos(nx)...

 

Transcribed Image Text:

For each n E N, define a continuous function fn: [0, 1] R by 1+nx 2n-cos(nx) fn(2) = Prove that a sequence (Sn) defined by Sn - S. fn (20) de = [ _VI + M2 S = dx 2n - cos(na) converges and find lim 8n. You need to justify your answer. da For each n E N, define a continuous function fn: [0, 1] R by 1+nx 2n-cos(nx) fn(2) = Prove that a sequence (Sn) defined by Sn - S. fn (20) de = [ _VI + M2 S = dx 2n - cos(na) converges and find lim 8n. You need to justify your answer. da