The values of one or both of the limits limₓ → ₐ₋ f(x) and limₓ → ₐ₊ f(x) is ± ∞. It is called "infinite discontinuity". Limₓ → ₐ f(x) exists (i.e., limₓ → ₐ₋ f(x) = limₓ → ₐ₊ f(x)) but it is NOT equal to f(a). It is called "removable discontinuity". Limₓ → ₐ₋ f(x) and limₓ → ₐ₊ f(x) exist but they are NOT equal. It is called "jump discontinuity" (or) "non-removable discontinuity".
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