Given below are four functions, f(x), g(x), h(x), and j(x). Use the functions and according limit...

 

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Given below are four functions, f(x), g(x), h(x), and j(x). Use the functions and according limit laws to find each indicated limit. If a limit does not exist, then explain why. y = f(x) 2 h(x)= (A) (i) lim f(x) x-4 x-2 0 = { j(x) = (ii) lim g(x) X-2 1 0 2 y = g(x) if x < 2 if x 2 (iii) lim h(x) x-2 2 (iv) lim j(x) 2. Find each limit using algebraic techniques: x +9-5 (a) lim x-4 x +4 3. Show that lim x.esin(x) = 0. x-0 x + 2 x+2x +8 (b) lim Given below are four functions, f(x), g(x), h(x), and j(x). Use the functions and according limit laws to find each indicated limit. If a limit does not exist, then explain why. y = f(x) 2 h(x)= (A) (i) lim f(x) x-4 x-2 0 = { j(x) = (ii) lim g(x) X-2 1 0 2 y = g(x) if x < 2 if x 2 (iii) lim h(x) x-2 2 (iv) lim j(x) 2. Find each limit using algebraic techniques: x +9-5 (a) lim x-4 x +4 3. Show that lim x.esin(x) = 0. x-0 x + 2 x+2x +8 (b) lim