CALCULUS:GRAPHICAL,NUMERICAL,..-PACKAGE
5th Edition
ISBN: 9780133320381
Author: Finney
Publisher: SAVVAS L
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In Exercises 4–18,(evaluate the limit)or explain why it does not exist.
4. lim (x² – 4x + 1)
5. lim
x 3 x + 6
x + 3
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Discuss the limit Lim
x - iy
y0
Real Analysis
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- 5. Find the lim tan X-0- an-¹(²)arrow_forwardIn 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-arrow_forward6helppparrow_forward
- 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 Xarrow_forwardShow that lim(x+¹)=e².arrow_forwardFind 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.arrow_forward
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