Question

the integral of [sin(x)/x]dx, solved using series...

Answer 1

reimann series right?

Answer 2

i was thinking a power series

Answer 3

and that sigma summation sign and i?

Answer 4

well yeah

Answer 5

is this one of those ones that you have to put into an equality?

Answer 6

like between -1 and 1, since it's a sine?

Answer 7

power series, the term is familiar; this stuff?\[\sum_{} i^2 = \frac{n(n+1)(2n+1)}{6}\]

Answer 8

1/(1-x) =\[\sum_{?}^{?}x^n\]

Answer 9

wow im bad at the equation editor... sorry guys.

Answer 10

charles xaviers here; hell know ;)

Answer 11

Well sin(x)=x-x^3/3!+x^5/5!-x^7/7!+x^9/9!...
I would divide by x. Then integrate and try to find a sigma representation.

Answer 12

maclaurin series?

Answer 13

Yeah

Answer 14

oh very clever! thank you.