Indicate whether the following functions are continuous at the specified points by determining whether at the given point all of the following conditions from Section 9.2 hold: (1) f

(a) is defined,

(2) limx → a f(x) exists, and (3) limx → a f(x) = f(a).

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(a) f(x)=3x - 7x+4 at x = 5 (1) f(5)=3(5) -7(5) + 4 = 44 (2) limx53x27x+4=3(5) -7(5) + 4 = 44 (3) lim5 f(x) = 44 = f(5) f(x) is continuous. r2 +5x+26 x-4 (b) f(x) = at x = 3 (1) f(3) = (3)+5(3) +26 (3)-4 50 -50 -1 r +5,+26 (2) lim = -50 x3 x-4 (3) lim f(x)=-50 = f(3) f(x) is continuous. x-3 x - 2 (c) f(x) = x-4 at x = 2 2-2 (1) f(2) = (2)2-4 With the denominator equal to zero, f(x) is not defined at x = 2 and so cannot be continuous at x = 2 even though the limit exists at x = 2. Limx2f(x) =