Question

Determine a series form for the power series:

Answer 1

-(sqrt(2)/3)x^-3 + (sqrt(6)/5)x^-5 - (sqrt(12)/7)x^-7 + (sqrt(20)/9)x^-9 - .............

Answer 2

Clarify: Im asking to write those terms in one form. ex. series n=1 t infin of x^n.

Answer 3

Shall I post the origional quest? might be easier

Answer 4

yeah ... you can post

Answer 5

\[\int\limits_{0}^{.4}\sqrt{1+X ^{4}} dx\] |Error|<5x10^6

Answer 6

is |Error| = n ??

Answer 7

no.

Answer 8

http://www.wolframalpha.com/input/?i=expand+sqrt%281%2Bx^4%29+at+x%3D0 ???

Answer 9

find a series for that integral, then use Rn<integral of f(x)

Answer 10

Im gussing that is series representation ?

Answer 11

\[ 1+\sum_{n=1}^{\infty} \frac{(-1)^{n+1}x^{4n+1}}{4n(4n+1)} \]

Integration of http://www.wolframalpha.com/input/?i=expand+sqrt%281%2Bx^4%29