Recent content by Fiz2007

And i have no clue why the summation is putting all the [SUP] stuff in there but it is suppose to say just what is in the text at the end.

Homework Statement find the interval of convergence of \sum[(2k+1)!/((2k)((k!)2)]* [xk] Homework Equations Ratio Test The Attempt at a Solution I already found that it converges on (-1/2, 1/2) by using power series with b=0 and testing the rest of it as ak. However, I am unsure...

Homework Statement Let sum of a sub k be an absolutely convergent series. a. Let f be the function defined by f(x) = sum of (a sub k) * sin(kx). Prove that: the integral from 0 to pi/2 of f = sum of (a2k-1 + a4k-2)/(2k-1) Homework Equations I already showed that f(x) converges...

Thanks! that made it much simpler.

Homework Statement Prove: If the limit inf as k goes to infinity of abs(ak+1 / ak) > 1 then the sum from 1 to infinity of ak diverges Homework Equations The Attempt at a Solution So far I have this: Suppose lim inf abs(ak+1/ak) >1 then, there exists an r such that lim inf...

Homework Statement Prove: If the limit inf as k goes to infinity of abs(ak+1 / ak) > 1 then the sum from 1 to infinity of ak diverges Homework Equations The Attempt at a Solution So far I have this: Suppose lim inf abs(ak+1/ak) >1 then, there exists an r such that lim inf...