Chapter 9.3, Problem 2QR

27 44. Find lim x3 x - 3

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Number 8

5. Find the lim tan X-0- an-¹(²)

In exercises 7 and 8, identify each limit or state that it does not exist. y -2 -2 7. (a) lim f(x)² -2 (b) lim f(x) (c) lim f(x) X→0- (d) lim f(x)z 2 (e) lim f (x) (f) lim f(x) X→-2- X→-2+ x→-2 (g) lim f(x) = DNE (h) lim f (x) x→-1 x→1-

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18. One-sided and two-sided limits Use the graph of g in the figure to find the following values or state that they do not exist. If a limit does not exist, explain why. in a. g(2) b. lim g(x) x→2 e. g(3) f. lim g(x) x 3 g. lim g(x) x→3+ c. lim g(x) x→2+ y d. lim g(x) x→2 h. g(4) i. lim g(x) x 4 4 1 5 3 2 0 1 2 3 y = g(x) 4 5 X

Show that lim(x+¹)=e².

Find each limit, state it does not exist. 1 (a) lim f(x) (b) lim f(x) (c) lim f(x) x→2+ x→-3+ x→-3 (d) lim f(x) (b) lim f(x) (c) lim f(x) x+4 x→2- 2.