Consider lim f (x), where f(x) = 4x – 1. - x→2 (a) Show that if 0 < ]x – 2| < 8, then |f (x) – 7| < 48. (b) Find a 8 such that If 0 < |x – 2| < 8, (c) Prove rigorously that lim f(x) = 7. then |f(x) -7기 < 0.01 x→2

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