If f has domain [0, infinity) and has no horizontal asymptotes, then lim_(x->infinity) f(x) = infinity or lim_(x->infinity) f(x) = -infinity.

Question

Can someone please clarify whether this statement is true or false?

Thank you

Answer 1

Examine whether f(x)=sin(x) satisfies the requirements for f(x), and decide if the statement is true or false.