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Discuss continuity of f(x)=(x-a)sin1/(x-a) when x#a0 when x=a. AT x=a

Discuss continuity of f(x)=(x-a)sin1/(x-a) when x#a0 when x=a. AT x=a

Grade:12

1 Answers

Shahzeb Rizvi
34 Points
5 years ago
at exact x=a the function is not defined. but the left hand limit (LHL) at x=a gives a very small negative number and RHL give a very small positive number.
Hence the function is discountinuous at x=a (reason f(x) is not defined at x=a)

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