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ACTIVITIES 1. Consider the function g(x) = y= x+1 ifx 3. Accomplish the table below. X g(x) X 2 g(x) 4 2.4 3.6 2.9 3.1 2.99 3.01 2.999 3.001 Evaluate (a) lim_g(x), (b) lim, g(x), and (c) lim g(x). Il. Identify the limit theorem used on each line. . anoffanull lim 24+13 (t-2)-31-2VE e lim- + lim (t-2 +Jim -36+ lim -2VE t t 2-1 = lim to + lim toc-2 + Him(-3)-2 lim 2-1 =lim t3 + lim- (t-2) _ 3-2 lim t- 1 t-+1 -lim t3 + (lim-) (lim(t - 2)) - 3-2 lim t-+1 = lim +3 + (lim t2) (lim(t - 2)) - 3-25 t - 1 =lim t3 + (limit2) (lim(t - 2)) -3-2- t-+1 him t =lim to + (lim t2) (lim t - lim 2) - 3-2- t-+ 1 t-1 t-1 1= 1 =lim t3 + (lim t?) (lim t - 2) -3-2 t- 1 =(lim z)3 + (lim t)?(lim t - 2) -3-27 t- 1 10. =(1)3 + (1)3(1 -2) -3-2-=1-1-3-2=-5