1. Given the graph of a function f calculate the value of each limit. Possible answers...

   

 

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1. Given the graph of a function f calculate the value of each limit. Possible answers are a number, infinity or minus infinity, or does not exist. (note that in part (f) the greatest integer function appears) (a) lim f(x) (b) lim f(x) (c) lim f(x) (d) lim f(x) 1 -3- (e) lim (f) lim f(x) (g) lim f(f(x)) (h) lim f(x) x3+ -0.5- 110 f(x)-f(0) 5 4 3 2 -1- ev y=f(x) 2 2. Use algebra if possible to compute each limit: 4-2² -2x² + 3x - 10 3. Given the following piece-wise defined function f: (a) lim (b) lim h-0 (4+h)-2-(4)-² h (d) lim f(x) (e) lim f(x) z-3- (c) lim h-0 /36+h-√36 h 3x - 1 if x<1 2016 if x = 1 2r if 1<x<3 x+2 if x > 3 calculate each of the following limits (or state that the limit does not exist) (a) lim f(x) (b) lim f(x) (c) lim f(x) (f) lim f(x) 1. Given the graph of a function f calculate the value of each limit. Possible answers are a number, infinity or minus infinity, or does not exist. (note that in part (f) the greatest integer function appears) (a) lim f(x) (b) lim f(x) (c) lim f(x) (d) lim f(x) 1 -3- (e) lim (f) lim f(x) (g) lim f(f(x)) (h) lim f(x) x3+ -0.5- 110 f(x)-f(0) 5 4 3 2 -1- ev y=f(x) 2 2. Use algebra if possible to compute each limit: 4-2² -2x² + 3x - 10 3. Given the following piece-wise defined function f: (a) lim (b) lim h-0 (4+h)-2-(4)-² h (d) lim f(x) (e) lim f(x) z-3- (c) lim h-0 /36+h-√36 h 3x - 1 if x<1 2016 if x = 1 2r if 1<x<3 x+2 if x > 3 calculate each of the following limits (or state that the limit does not exist) (a) lim f(x) (b) lim f(x) (c) lim f(x) (f) lim f(x)