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If f(x)={e1/x,if xnot equal to 0 and 1 if x=0. find whether f is continuous at x=0.

If f(x)={e1/x,if xnot equal to 0 and 1 if x=0. find whether f is continuous at x=0.

Grade:11

1 Answers

Kumar
37 Points
7 years ago
Dear, the given function is discontinuous at x=0. Because the left hand limit is equal to 0, right hand limit is equal to infinity and the value of the function at x=0 is 1. These values are totaly different.

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