Calculus II homework help needed!!
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Calculus II homework help needed!!

[From: ] [author: ] [Date: 11-08-09] [Hit: ]
as a Taylor series evaluated at a particular value of x, find the sum of the convergent series.sum = ??Originally I was thinking this looked like the ln(x) expansion but it doesnt go from + to - so Im not sure what to use. e^x expansion also looks like it could be a possibility but its divided by n!......
By recognizing the series

((3/4))+((3/4)^2)/2+((3/4)^3)/3+.....+…

as a Taylor series evaluated at a particular value of x, find the sum of the convergent series.

sum = ??

Originally I was thinking this looked like the ln(x) expansion but it doesn't go from + to - so I'm not sure what to use. e^x expansion also looks like it could be a possibility but its divided by n! not just n+1...

Help please?

-
I think this series is the expression for -ln(1-x) = x+x^2/2+x^3/3+x^4/4
-ln(1-3/4) = -ln(0.25) = -(-1.386)

If all else fails, go with this!
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