Convergence by Integral Test Math Questions

Question Description

Please see the attachment, it has all 5 questions.

Determine its convergence by integral test.

=1arctan( ) 2+1∑n=1∞arctan⁡(n)n2+1

1) List the conditions that allow integral test.

2) Perform integral test appropriately.

3) State your conclusion about the series.

Hint: arctan( )1+ 2 =(arctan( ))22+

Prof. Angela


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