Exercises (1.6): (1) lim vx (2) lim(sgn(x? - 1) + sgn(x2 +1))X0+x-1(2x+1, x 2 2(3) lim f (x), limf(x) and lim f(x) if f(x) =ズ→2X--2(x+3, x<22x,(4) lim(1x] + sgn(x)) (5) lim f(x) if f (x) =ズ→0X22-4x +1, x> 2VI

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Exercises (1.6): (1) lim vx (2) lim(sgn(x² x0+ X+1 (2x+1, x2 2 (3) lim f(x), limf (x) and lim f(x) if f(x) = %3D ズ→2 オ→5 ズ→-2 (x+3, x<2, -2x, (4) lim(x|+ sgn(x)) (5) lim f(x) if f(x) = %3D ズ→2 x²-4x + 1, x> 2

Exercises (1.6): (1) lim vx (2) lim(sgn(x² x0+ X+1 (2x+1, x2 2 (3) lim f(x), limf (x) and lim f(x) if f(x) = %3D ズ→2 オ→5 ズ→-2 (x+3, x<2, -2x, (4) lim(x|+ sgn(x)) (5) lim f(x) if f(x) = %3D ズ→2 x²-4x + 1, x> 2

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

Exercises (1.6): (1) lim vx (2) lim(sgn(x? - 1) + sgn(x2 +1))
X0+
x-1
(2x+1, x 2 2
(3) lim f (x), limf(x) and lim f(x) if f(x) =
ズ→2
X--2
(x+3, x<2
2x,
(4) lim(1x] + sgn(x)) (5) lim f(x) if f (x) =
ズ→0
X2
2-4x +1, x> 2
VI

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