- #1

HF08

- 39

- 0

Suppose that {[tex]a_{k}[/tex]}[tex]^{\infty}_{k=0}[/tex] is a bounded sequence

of real numbers. Show that [tex]\sum[/tex]a[tex]_{k}[/tex]x[tex]^{k}[/tex] has a

positive radius of convergence.

Work:

I have attempted to use the ratio test and failed. I am suspicious I can try the root

test, but I am not sure how to work it. I just got used to 'Math Type Lite' and I am

not used to Latex, hence it took me a while to type it up. Pardon if my question looks

weird.

Anyway, I am depressed. I spent the past two hours on this problem and I am getting nowhere.

Thank You,

HF08