Investigate convergence of the series: 1 n ( <msqrt>

cambrassk3

cambrassk3

Answered question

2022-06-29

Investigate convergence of the series:
1 n ( n 2 + n n )
Which criterion should be used?

Answer & Explanation

Shawn Castaneda

Shawn Castaneda

Beginner2022-06-30Added 17 answers

Rewrite:
1 n ( n 2 + n n ) = n 2 + n + n n ( n 2 + n n ) ( n 2 + n + n ) = n 2 + n + n n 2
And then:
n 2 + n + n n 2 n 2 + n n 2 = 2 n n 2 = 2 n
So since 2 n diverges...

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