InterviewSolution
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InterviewSolution
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The function `f(x) = (4-x^(2))/(4x-x^(3))` isA. discontinuous at only one pointB. discontinuous at exactly two pointsC. discontinuous at exactly three pointsD. None of the above |
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Answer» Correct Answer - C We have, `f(x) = (4-x^(2))/(4x-x^(2))=((4-x^(2)))/(x(4-x^(2)))` ` = ((4-x^(2)))/(x(2^(2)-x^(2))) = (4-x^(2))/(x(2+x)(2-x))` Clearly , `f(x)` is discontinuous at exactly three points `x = 0, x = - 2` and `x = 2`. |
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