Hi, have this problem, can't solve it.
Given "a" and "b" real numers, I have to show that the following limit doesn't depend on the election of "b".
VERY IMPORTANT: I can't use L'Hoppital's rule in any way or derivatives, since it's not supposed to be part of this section of the course (those things are posterior, so I should have to solve the limit without it).
Essentialy I'm asking how to solve the limit just by transforming the expression, I guess. Thanks
Lim (x-->+inf) of [1 + (a/x) + (b/x^2)]^x
Given "a" and "b" real numers, I have to show that the following limit doesn't depend on the election of "b".
VERY IMPORTANT: I can't use L'Hoppital's rule in any way or derivatives, since it's not supposed to be part of this section of the course (those things are posterior, so I should have to solve the limit without it).
Essentialy I'm asking how to solve the limit just by transforming the expression, I guess. Thanks
Lim (x-->+inf) of [1 + (a/x) + (b/x^2)]^x