f: [0,1]--> R (reals) f(x) = {1 if x= 1/n where nEN (element Naturals) , 0 otherwise} Prove f is discontinuous at 0 I have not been able to make any progress on this problem and need help please.
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Originally Posted by leonhart f: [0,1]--> R (reals) f(x) = {1 if x= 1/n where nEN (element Naturals) , 0 otherwise} Prove f is discontinuous at 0 I have not been able to make any progress on this problem and need help please.
Originally Posted by leonhart f: [0,1]--> R (reals) f(x) = {1 if x= 1/n where nEN (element Naturals) , 0 otherwise} Prove f is discontinuous at 0 A word about notation. This problem assumes that , that is not always the case. The function is . Note that . Therefore cannot be continuous at . If you need a proof note that
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