Use the rules of limits to find the limits for the following functions: (a) lim[x(x+5)] x-3 lim

Use the rules of limits to find the limits for the following functions:

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(a) lim[x(x+5)] x-3 lim [x4(x+5)] = lim x4 lim (x+5) x-3 x-3 x3 = (3) (3+5)= 81.8 = 648 (b) lim 7x-9x t-5 x+8 (Rule 5) 7x-9x limx-5(7x - 9x) lim (Rule 6) x-5 x+8 lim 5(x+8) 7(5)2-9(5) 175-45 = = = 10 5+8 13 (c) lim2x3-7 x-4 lim 2x3 7lim (2x-7)1/2 x-4 - x-4 = [lim (2x - 7)] 1/2 = = [2(4)37]1/2 (121) 1/2 = 11 = (Rule 7)