Find the indicated one-sided limit, if it exists. (If an answer does not exist,

Question

Find the indicated one-sided limit, if it exists. (If an answer does not exist, enter DNE.) Determine all values of x at which the function is discontinuous. f(x) = x2-9x+20/x2-4x

Explanation / Answer

lim 12(x-12) ^ .5 = 0 . x->12+ As we take x as 12+ the expression in the square root is never negative , root exists which is almost zero. A function is discontinuous when then limit is unbounded in the give case when the denominator is zero then the function value will be infinity so the function is discontinuous when the denominator is zero x(x-4) = 0 x=0(smaller value) or x=4(larger value).

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