Friday
October 24, 2014

Homework Help: Calculus

Posted by Douglas on Monday, October 4, 2010 at 9:22pm.

This is going to be pretty hard to show as text since it would be easier for me to post a picture of the question.

The question has f(x) = x/4^2 - (2x^3)/4^4 + (3x^5)/4^6 + ... .

I am trying to find out the value of f(2). There is a hint to differentiate the power series expansion of 1/(x^2 + 4^2).

I've found that f(x) can be written as a series of (sigma) (((-1)^n)(n)(x^(2n-1))) / (4^(2n))

The picture has the question that I'm trying to figure out.

When I tried to do the derivative of the power series expansion of (1/(x^2+16)), I didn't really come up with anything useful. What I noticed was that the derivative of the power series expansion ended up to be f(x) times -2/16, I'm not sure if this even helps me go to the right direction.

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

Quick Question #2 (URGENT) - How would show/ask 'What is your phone number?' in ...
Monitors of Board - Is there any way that the postings could be numbered? The ...
Science - What is the average summer temperature in the desert biome? Select one...
Math2 - A "quick picture" is an estimate than? 5 x 2.7 ..... 5 x 3= 15 Its been ...
algebra - can someone help me with this question it is very hard the question is...
calculus - Iamhaving a really hard time trying to understand this question. Can ...
macro economics - Here's a picture of the question (since it's hard to make a ...
To Debela Duguma - Your question tucked at the end of another post was probably ...
Chemistry - -856.7 kJ/mol is delta Gfo. Same book I used for you yesterday. ...
Venn Diagram - This is kind of a hard question to post without graphics but I ...

Search
Members