Find the limits for the following polynomial and rational functions. (a) lim (3x25x+9) x-4 From the properties

Find the limits for the following polynomial and rational functions.

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(a) lim (3x25x+9) x-4 From the properties of limits it can be shown that for all polynomial functions and all rational functions, where defined, limxa f(x) = f(a). The limits can be taken, therefore, by simply evaluating the functions at the given level of a. lim (3x-5x+9)=3(4) -5(4) +9 = 37 x-4 (b) lim (6x2+8x13) x-3 2x23x-9 x-8 4x+29 (c) lim lim (6x2+8x13) = 6(-3) + 8(-3) - 13 = 17 2118 2x2-3x-9 2(8)2-3(8)-9 95 lim == x-8 4x+29 = == 4(8) +29 285 113