February 26, 2017

Homework Help: Calculus

Posted by Joshua on Thursday, April 16, 2009 at 10:47pm.

Does the series (1+sin(n))/(10^n) from summation 0 to positive infinity converge or diverge?

I let an = (1+sin(n))/(10^n) and bn = 1/10^n

lim as n approaches positive infinity = an/bn = ((1+sin(n))/(10^n))/(1/(10^n))= 1+sin(n)= positive infinity.

I don't know if it's right or not but if someone could look over it that would be great.

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