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April 9th, 2013, 06:21 AM   #1
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Determining if sequences converge or diverge

Hallo!

please help me with these, i am struggling and they are for revision purposes

determine is sequences {avn} (n is subscript) converge or diverge an justify answers

1) an = (((-1)^n) + n)/(((-1)^n) - n)

2) an = sqrt(n+1) - sqrt(n)


thank you in advance!
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April 9th, 2013, 08:58 AM   #2
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Re: Determining if sequences converge or diverge

They both converge.


(a) . Since we have that

and . Hence, .

(b) . Since e we have that wich gives us that .
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April 9th, 2013, 03:24 PM   #3
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Re: Determining if sequences converge or diverge

Excellent thank you so much!
I was very stuck on this
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