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(Solved): Prove that the function f : (0,1) R defined by f(x) = sin(1/x) is continuous but not uniformly c ...
Prove that the function f : (0,1) ? R defined by f(x) = sin(1/x) is continuous but not uniformly continuous on (0, 1). You may assume continuity of the sine function
Prove that the function \( f:(0,1) \rightarrow \mathbb{R} \) defined by \( f(x)=\sin (1 / x) \) is continuous but not uniformly continuous on \( (0,1) \). You may assume continuity of the sine function