Question

If f is a continuous function such that lim as x-->infinity f(x)=5 find,
if possible, lim as x-->-infinity f(x)=5 for the specified condition: The graph of f is symmetric to the origin.

Answer 1

I'm under the impression it has to be an odd function, and the highest degrees of the numerator and denominator must be equal, like \[5x ^{n}\div x ^{n}\]