Thursday
December 18, 2014

Homework Help: Calculus

Posted by Anonymous on Friday, February 22, 2008 at 9:59pm.

The problem with these two questions is that I cannot determine the a and r. The 3rd question-I don't know what I did wrong. Thanks for the help!

Tell whether the series converges or diverges. If it converges, give its sum.

infinity
(sigma) sin^n (pi/4 + n pi)
n=0

answer: converges, 2-sqrt(2)

----------------------------

1/2 + 2/3 + 3/4 + 4/5 + ... + n/(n+1)+...

even number question. don't know the answer

---------------------------
infinity
(sigma) (e/pi)^n
n=1

answer: e/(e-pi)

work:
-1<e/pi<1 Therefore, converges
a=1, r=e/pi
S= 1/(1-e/pi)
=1/(pi/pi-e/pi)
=1/[(pi-e)/pi]
=pi/(pi-e) (not the same as the answer)

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