7. Evaluate the following limits and justify each step. (a) lim (3x²+2x+1) 1 x²+4x-12 (b) lim 1 2 x² - 2x t-√√3t+4 (c) lim t-0 4-t x²-6x+5 (d) lim (e) lim x 5 x-5 x→2 x²+2x+3 4u+1-3 (f) lim u➡2 u-2 1 (g) lim x-3 2 x 55 x - 7x4 +4 (h) lim xx 5x+2x-1 x+1 (i) lim x²-2x+5 - 7x8+4x7 +5x
7. Evaluate the following limits and justify each step. (a) lim (3x²+2x+1) 1 x²+4x-12 (b) lim 1 2 x² - 2x t-√√3t+4 (c) lim t-0 4-t x²-6x+5 (d) lim (e) lim x 5 x-5 x→2 x²+2x+3 4u+1-3 (f) lim u➡2 u-2 1 (g) lim x-3 2 x 55 x - 7x4 +4 (h) lim xx 5x+2x-1 x+1 (i) lim x²-2x+5 - 7x8+4x7 +5x
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.6: Rational Functions
Problem 4SC
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Transcribed Image Text:7. Evaluate the following limits and justify each step.
(a) lim (3x²+2x+1)
1
x²+4x-12
(b) lim
1 2
x² - 2x
t-√√3t+4
(c) lim
t-0 4-t
x²-6x+5
(d) lim
(e) lim
x 5 x-5
x→2
x²+2x+3
4u+1-3
(f) lim
u➡2 u-2
1
(g) lim
x-3
2
x 55 x
-
7x4 +4
(h) lim
xx 5x+2x-1
x+1
(i) lim
x²-2x+5
- 7x8+4x7 +5x
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