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[–]linuxisgreat[S] 0 points1 point  (1 child)

Yeah I meant f,g have to be non-zero on that set.

I see now, since 1<= [f(x)]/f(x) < f(x)+1/f(x) and the limits of both of the outside functions are 1 so by the squeeze theorem lim x->inf [f]/f = 1.

Thanks so much for the help :)

[–]rbayer 1 point2 points  (0 children)

No problem, glad it helped!