Adherence Values of a funtion

212 Views Asked by At

I am stuck with this:

Prove that the adherence values of the function sin(1/x)/x at the zero point are the whole Real Numbers.

When we see the graph we are convinced of the truth, but giving a formal proof does not seem so easy. In the book I am studying, the author only makes this statement, but does not justify it and does not provide any hint.

Thanks in Advance.