Examine the convergence ofthe series Σn=0-->∞n^2 +1/5n – InterviewSolution

1.

Examine the convergence ofthe series Σn=0-->∞n^2 +1/5n

Answer»

Using ratio convergence test a(n+1)----------- a(n)

((n+1)² +1)(5ⁿ) ------------------------ 5^(n+1) (n²+1)

1/5 < 1So, convergent series

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