Question

Find the radius of convergence of the series
\[\sum_{n=0}^{\infty} x ^{2n+1} / (2n+1)!!\]
and show that its sum f solves the equation f'(x)=1+xf(x) for all x in the interval of convergence

Answer 1

is this
\[\sum\frac{x^{n+1}}{(n+1)!}\]?

Answer 2

is this
\[\sum\frac{x^{n+1}}{(n+1)!}\]?

Answer 3

what am i saifoo now?

Answer 4

this is
\[e^x\]

Answer 5

or maybe it is
\[e^x-1\] because you are starting at n + 1 instead of n

Answer 6

who is this?