Continuous vs. Discontinuous (Removable vs. Non

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Removable Discontinuity -- from Wolfram MathWorld

SOLVED: Consider the following function: f(x) = 4 - x^2. Find the x-values at which f is not continuous. Which of the discontinuities are removable? (Enter your answers from smallest to largest.

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SOLVED: Find the X-values (if any) at which the function f(x) = -14x+40 is not continuous. Which of the discontinuities are removable (limit exists) and non-removable? a) x=4 (Removable), x=10 (Not removable)