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Emely Baldwin

Emely Baldwin

Answered question

2022-05-23

Prove divergence of n = 1 ( ( 1 ) n 1 n + 1 n )

Answer & Explanation

sepolturamo

sepolturamo

Beginner2022-05-24Added 14 answers

Suppose a n = ( 1 ) n 1 n and b n = 1 n and c n = a n + b n
If c n converges then as a n converges (by Leibnitz test),so b n = ( c n a n ) converges but this is not true as harmonic series diverges.

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