Use the following argument to show that a. Make a sketch of the function f(x) = 1/x

Question:

Use the following argument to show that

lim In x = ∞ and lim In x = -∞ 00 x→0+

a. Make a sketch of the function f(x) = 1/x on the interval [1, 2]. Explain why the area of the region bounded by y = f(x) and the x-axis on [1, 2] is ln 2.

b. Construct a rectangle over the interval [1, 2] with height 1/2. Explain why ln 2 > 1/2.

c. Show that ln 2" > n/2 and ln 2^-n < -n/ 2.

d. Conclude that lim In x = ∞ and lim In x = -∞. x→0* 00 00.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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Question Posted: Apr 06, 2019 11:35 AM

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Use the following argument to show that a. Make a sketch of the function f(x) = 1/x

Question:

lim In x = ∞ and lim In x = -∞ 00 x→0+ lim In x = ∞ and lim In x = -∞. x→0* 00 00.

Step by Step Answer:

a The region under 12 and above the raxis between 2 ...View the full answer

Calculus Early Transcendentals

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