Question

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.

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

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

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