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2.2 Finding Limits Graphically (if they exist) 2. Example. Consider the graph of -2(x - 2) x 1 Find g(2) . lim g(x) . lim g(x) 3 . lim g(x)2.3 Finding Limits Analytically: 3. Example. For g(r) = + +6 find x2 - 36 1. lim g(x) 2. lim g(x) r--6 Suppose lim f(x) = 4, lim g(x) = 5 and lim h(x) = 8. 4. I-+2 a) lim f(x) - g(x) b) lim (6f(x)g(x) +h(x))2.5 Continuity 1. f(a) is defined 2. lim f(x) exists 3. lim f(x) = f(a) f(x) = x2 + v7-x, a=4 5. Determine whether the following is continuous:2.1 Average Velocity & Instantaneous Velocity Example. An unladen swallow is flying from Camelot to the Castle Anthrax and back. It's current position, in miles, is given by s(t) = -16t- + 96t where t is given in hours. Find the average velocity between: a) t = 1 and t = 3, b) t = 1 and t = 2