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OpenStudy (anonymous):
Question on Continuity 2 is a possible point of discontinuity on a piecewise function Evaluate at x=2 (i)f(x)= 1/|2-x| f(2)=(+inf? or -inf?) Find the left and right side limit (ii) lim [[x-1]] as x-> 2- = 0 (ii)lim 1/|2-x| as x-> 2+ = +infinity Can this function be considered to have infinite essential discontinuity at x=2 even if f(2) dne(inf)?
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