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Find all points of discontinuity of f, w...

Find all points of discontinuity of f, where f is defined by`f(x)={{:(x^(10)-1, ifxlt=1),(x^2, ifx >1):}`

Text Solution

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`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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