- #1

Amaelle

- 310

- 54

- Homework Statement:
- the convergence of a series (look at the image)

- Relevant Equations:
- asymptotic comparison

good day

I want to study the convergence of this serie and want to check my approch

I want to procede by asymptotic comparison

artgln n ≈pi/2

n+n ln^2 n ≈n ln^2 n

and we know that

1/(n ln^2 n ) converge so the initial serie converge

many thanks in advance!

I want to study the convergence of this serie and want to check my approch

I want to procede by asymptotic comparison

artgln n ≈pi/2

n+n ln^2 n ≈n ln^2 n

and we know that

1/(n ln^2 n ) converge so the initial serie converge

many thanks in advance!