Find the limit

[CristianTheodor]

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[Deleted member 4993]

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[CristianTheodor]

I think i just solved it . That is a geometric sum with the first term b1=a+1 and the ratio q=a^2 . Using the formula for the geometric sum we get a simple limit which is equal to 1/(1-a) .

 

[pka]

I think i just solved it . That is a geometric sum with the first term b1=a+1 and the ratio q=a^2 . Using the formula for the geometric sum we get a simple limit which is equal to 1/(1-a) .

First this is not a geometric sum. It is an infinite product with a simple pole. As you can see you have the correct answer .