The graphs of f and g are given. Use them to evaluate each limit, if it exists. (If an answer does not exist, enter DNE.) y y-f(x) y y= g(x) A A 1 x 1 (a) lim [f(x) + g(x)] x-2 (b) lim [f(x) g(x)] X-0 (c) lim [f(x)g(x)] x--1 (d) lim f(x) x-3 g(x) (e) lim [x2f(x)] x-2 (f) f(-1)+ lim g(x) x--1

Use the graph of the function to state the value of lim f(x), if it exists. x→0 f(x) = x² + x 3√x³ + x²

Refer to the graph of the function f and determine whether the statement below is true or false. lim f (x) = 4 X→0 = F(x) -4 -3 -2 -1 1 2 4 -1 -2 -5

Plot the function f(x) then evaluate lim,-1- f(x) -r - 2 if r -1

For the function h whose graph is given, state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.) y -4 -2- -4 -2 2 4 6 8 (a) X → -3- lim h(x) (b) x → -3+ lim h(x) (c) lim h(x) X → -3 (d) h(-3) lim h(x) (e) X → 0- (f) lim h(x) X → 0+ (g) lim h(x) X → 0

For the function h whose graph Is glven, state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.) yA A 4 -4 -2 4 (a) lim h(x) 4 (ь) lim h(x) x- -3 lim h(x) --3 (c) (d) h(-3) 3 (e) lim h(x) x- 0 1 (f) lim h(x) o+ -1 (g) lim h(x) XTO (h) h(0) (i) lim h(x) x - 2 () h(2) (k) lim h(x) x- 5* (1) lim h(x)

For the function g whose graph is given, state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.) yA (a) lim g(t) (b) lim g(t) t- 0+ (c) lim g(t) t - 0 (d) lim g(t) t - 2- (e) lim g(t) 2+ (f) lim g(t) t - 2 (g) g(2) lim g(t) (h) t- 4

For each piecewise linear function, find the following. (If an answer does not exist, enter DNE.) 2 - x if x < 5 f(x) 9x - 48 if x 2 5 (a) lim f(x) X-5 (b) lim f(x) x+5+ (c) lim f(x)

For the function h whose graph is given, state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.) y 4 2 -4 -2 2 4 8 (a) lim h(x) X → -3- (b) lim h(x) X → -3+ (c) lim h(x) X → -3 (d) h(-3) lim h(x) (e) X → 0- (f) lim h(x) x → 0+ (g) lim h(x)

For the function f whose graph is given below, state the value of each quantity, if it exists. y 5t 3 2 2 (a) lim f(x) = X- 2 lim f(x) = x+2+ (b) %3D (c) lim f(x) : x-2 (d) lim f(x) = x-1 (e) f(1) = %3D 후