- #1

HF08

- 39

- 0

(a) e[tex]^{x}[/tex]cosx

Well, I did some work. I can show that

e[tex]^{x}[/tex]=[tex]\sum[/tex]x[tex]^{k}[/tex]/k!

cosx=[tex]\sum[/tex]((-1)[tex]^{k}[/tex]x[tex]^{2k}[/tex])/(2k)!

are analytic and have the above Maclaurin expression.

My problem is multiplying these two expressions together, finding the Maclaurin

expression and proving it is analytic.

I would be grateful for all your help. I think the hardest part will be showing how

it is analytic.

Thanks,

HF08