Explanation Given: lim x → ∞ x 2 + 1 Calculation: lim x → ∞ x 2 + 1 = lim x → ∞ ( 1 + x 2 ) 1 / 2 = lim x → ∞ ( x + 1 2 x − 1 8 x 3 + 1

15th Edition

ISBN: 9781305420878

Author: Stewart

Publisher: CENGAGE L

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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 topic…

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Chapter 2.2, Problem 20E

To determine

To find: The limit limx→∞x2+1 .

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Chapter 2.2, Problem 19E

Chapter 2.2, Problem 21E

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3.1 Limits 1. If lim f(x)=-6 and lim f(x)=5, then lim f(x). Explain your choice. x+3° x+3* x+3 (a) Is 5 (c) Does not exist (b) is 6 (d) is infinite

1 pts Let F and G be vector fields such that ▼ × F(0, 0, 0) = (0.76, -9.78, 3.29), G(0, 0, 0) = (−3.99, 6.15, 2.94), and G is irrotational. Then sin(5V (F × G)) at (0, 0, 0) is Question 1 -0.246 0.072 -0.934 0.478 -0.914 -0.855 0.710 0.262 .

2. Answer the following questions. (A) [50%] Given the vector field F(x, y, z) = (x²y, e", yz²), verify the differential identity Vx (VF) V(V •F) - V²F (B) [50%] Remark. You are confined to use the differential identities. Let u and v be scalar fields, and F be a vector field given by F = (Vu) x (Vv) (i) Show that F is solenoidal (or incompressible). (ii) Show that G = (uvv – vVu) is a vector potential for F.

Chapter 2 Solutions

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The limit lim x → ∞ x 2 + 1 .

Solution Summary: The author explains how to find the limit of undersetxto inftymathrmlim

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To find: The limit limx→∞x2+1 .

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Chapter 2 Solutions