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B. Consider the function f(x) whose graph is shown below, find: .............. ..... (3.2) -2. 1 ) : (3.0 1. lim f (x) = and
B. Consider the function f(x) whose graph is shown below, find: .............. ..... (3.2) -2. 1 ) : (3.0 1. lim f (x) = and f (-2) = 2. lim f (x) = and f (0 ) = 3. lim f (x) = x- 3 and f (3) = C. Evaluate the functions using the given values of x. X X - 3 X X x2 - 6x + 9 2.5 x2 - 6x + 9 2.8 3.5 3.2 2.9 3.1 2.99 3.01 2.999 3.001 2.9999 3.0001 From the table, determine the following limits. 1 x- 5 4 lim lim X - 3 = x-3 x-3- x2 - 6x +9 2 X - 5 X lim lim X-3+ x - 3 x-3+ x2 - 6x +9 3 x - 6 X lim - lim - x-+3 x2 - 6x +9 = x-3 x - 3 D. Using the Limit Laws, evaluate: lim (1 + Vw)(2- w + 3w2) 2tz W - 1 lim - t--2t2+ 3t - 1
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