1. Let f(x) = 2x+6 if x < -1 3x+2 if x -1 (a) What is...

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1. Let f(x) = 2x+6² if x < -1 3x²+2 if x ≥-1 (a) What is lim, -1- f(x)? Your answer will depend on b. (b) What is lim,-1+ f(x)? (c) For what values of b does limx→-1 f(x) exist? 2. Suppose that f and g are functions and you are given the following information. lim f(x) = 21 lim g(x) = 0 #--1 -1 lim f(x)=3 lim g(x) = 5 x-0 x-0 Compute the following limits. If there is not enough information to determine the limit, just say so. (a) lim x+0 f(x)+g(x) (b) lim √g(x) #4-1 (c) lim (*) 1. Let f(x) = 2x+6² if x < -1 3x²+2 if x ≥-1 (a) What is lim, -1- f(x)? Your answer will depend on b. (b) What is lim,-1+ f(x)? (c) For what values of b does limx→-1 f(x) exist? 2. Suppose that f and g are functions and you are given the following information. lim f(x) = 21 lim g(x) = 0 #--1 -1 lim f(x)=3 lim g(x) = 5 x-0 x-0 Compute the following limits. If there is not enough information to determine the limit, just say so. (a) lim x+0 f(x)+g(x) (b) lim √g(x) #4-1 (c) lim (*)