Question

limit n tends to infinity for f (n)= (a^n + b^n)/(a^n - b^n)

Answer 1

Is there any extra info about what a or b are?

Answer 2

oh yes a> b> 1

Answer 3

I'd assume they're real constants

Answer 4

I tried factorising and I tried series expansions quite stuck since yesterday

Answer 5

divide \(a^n\) top and bottom, then let \(t = b/a\)

Answer 6

Thanks. Gosh I was being ridiculous. This seems so easy. Thanks

Answer 7

yw :) are you getting 1 ?

Answer 8

obviously. Easy peas. I dislike this bit about calc...There's this approach that should strike you immediately. I didn't pick up on the hint from the a and b conditions.

Answer 9

Haha it wouldn't be fun if that guessing part is not there !