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2. (a) Show that when x > 1, In(x) (This should be very short.) (b) Use your knowledge of integrals to explain why, when x > 1, dt < 1 dt. 1 (c) Evaluate the integrals in (b) and combine this with (a) (and the squeeze theorem) to show that In(x) lim = 0.

2. (a) Show that when x > 1, In(x) (This should be very short.) (b) Use your knowledge of integrals to explain why, when x > 1, dt < 1 dt. 1 (c) Evaluate the integrals in (b) and combine this with (a) (and the squeeze theorem) to show that In(x) lim = 0.

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.2: Remainder And Factor Theorems
Problem 51PS
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Question in picture about calculus, thankss!

2. (а) Show that when x > 1, In(x) (This should be very short.) (b) Use your knowledge of integrals to explain why, when x > 1, -dt < t 1 dt. VE (c) Evaluate the integrals in (b) and combine this with (a) (and the squeeze theorem) to show that In(x) lim 0.
Transcribed Image Text:2. (а) Show that when x > 1, In(x) (This should be very short.) (b) Use your knowledge of integrals to explain why, when x > 1, -dt < t 1 dt. VE (c) Evaluate the integrals in (b) and combine this with (a) (and the squeeze theorem) to show that In(x) lim 0.
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