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A function f(x)has removable discontinuity at x=aif limx→a(f(x))exists and finite, but function is either undefined at x=aor limx→a(f(x))≠f(a) f(x)has step discontinuity if one-sided limits exist and finite but not equal. f(x)has essential discontinuity if one or both of the one-sided limits don't exist or are infinite.
Find undefined (singularity) points:x=3,x=−4
Check discontinuity of the singularity points
x2+3x−4x2+x−12at point x=−4:Removable Discontinuity at x=−4
x2+3x−4x2+x−12at point x=3:Essential Discontinuity at x=3