Question: Consider the function f(x)=sin (pi/x), that doesn't not have a limit as x approaches 0. Does f(x) have a limit as x approaches 1?

Consider the function f(x)=sin (pi/x), that doesn't not have a limit as x approaches 0. Does f(x) have a limit as x approaches 1? Or any real number other than 0? Explain why, while considering the properties of functions pi/x and sin(x).

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