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If f(x) = 12, if x is an integer - 7, if x is a real number which is not an integer

Find whether f is continuous at x = 9

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by tejusurya003

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Find whether f is continuous at x = 9

by tejusurya003

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f(x) is continous when x is an integer but when left hand limit is not equal to right hand limit then it shows that f(x) is not continous then

wen x = 9 when x is slightly less then f(x)

so LHL≠RHL left hand limit is not equal to right hand limit so it shows that f(x) is not contiouns at x = 9