InterviewSolution
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InterviewSolution
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Find all points of discontinuity of f, where f is defined by`f(x)={{:(x^(10)-1, ifxlt=1),(x^2, ifx >1):}` |
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Answer» `f(1)= (1)^10 - 1 = 0` LHL `= lim_(x->1^-)f(x) = lim_(x->1^-) x^10 - 1 = 0` RHL `= lim_(x->1^+)f(x) = lim_(x->1^+) x^2 = 1` LHL`cancel(=) `RHL |
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