2.5_Continuity

2.5_Continuity - x→a 3 lim f(x = f(a x→a Find the...

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Objectives 2.5 (continued) Definition of Continuity at a point Determining Discontinuity from a Graph Determining Discontinuity from a function’s definition Defining a value of k to make a function continuous Finding the intervals over which a function is continuous Continuity at a point A function f is continuous at the point x = a if the following conditions are satisfied: 1. f(a) is defined 2. lim f(x) exists
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Unformatted text preview: x→a 3. lim f(x) = f(a) x→a Find the discontinuities of the function: f(x) = x2 + 1 x< 1 x3 – 5 1 < x Find the discontinuities of the function: f(x) = ( 2x)/ (x2 – 25) Find the value of k that will make f continuous on (- ∞ , ∞) if – f(x) = (x2 - 9) x + 3 if x ≠ - 3 k if x = -3 Find the values of x at which the function is continuous. • f(x) = 30x + 1 • x2 + x - 30...
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