MHB Integral Test: Analyzing 1/(n+1)^x with x > 1

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The discussion focuses on applying the integral test to the series sum from n=0 to infinity of 1/(n+1)^x, where x > 1. The initial confusion stemmed from the variable x in the integral evaluation. A suggestion was made to replace x with a different variable, a, to simplify the analysis. Ultimately, the participant successfully resolved their confusion and was able to proceed with the integral test. The conversation highlights the importance of clarity in variable representation when evaluating integrals.
brunette15
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Hi,
I am trying to use an integral test on the following series:

The sum from n=0 to infinity on 1/(n+1)^x where x>1

I know the process of using the integral test however i am unsure as to how to evaluate the integral with the x in the series :/

Thanks in advance!
 
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Maybe using $x$ confuses you. Try putting $x=a$, what do you have? Can you write down your attempt?
 
ZaidAlyafey said:
Maybe using $x$ confuses you. Try putting $x=a$, what do you have? Can you write down your attempt?

Yes i think using x was a little confusing. I was able to get it thankyou!
 
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