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April 9th, 2013, 07:21 AM  #1 
Member Joined: Mar 2013 Posts: 56 Thanks: 0  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! 
April 9th, 2013, 09:58 AM  #2 
Senior Member Joined: Feb 2009 Posts: 172 Thanks: 5  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 . 
April 9th, 2013, 04:24 PM  #3 
Member Joined: Mar 2013 Posts: 56 Thanks: 0  Re: Determining if sequences converge or diverge
Excellent thank you so much! I was very stuck on this 

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