Question

evaluate..... limit (when x approaches 0)
((9^x)-(5^x))/x

Answer 1

are you allowed to use L'Hospital?

Answer 2

no :)

Answer 3

what about algebraic manipulation?

Answer 4

no I don't think so. Its just a calculus 1 question you know

Answer 5

algebraic manipulation is calculus 1 i think...maybe using logarithms? no?

Answer 6

mmmm you're probably right , I think it would be possible to use algebraic manipulation, but not log. but anyway don't bother yourself its fine .

Answer 7

well ...the answer is log(9/5) ... but I used L'Hospital

Answer 8

well, I think using log is much easier, thanks all.

Answer 9

you could use numerical approximation ...

Answer 10

make x close to zero from L and R of zero ( 0.00001) and (-.00001)