Explanation Given information : The function f ( x ) = 1 x 2 with x ≠ 0 , and L be a positive integer, so that, f ( x ) > 100 L , if | x | < 1 10 L Formula used : To obtain the desired result, it is used the formula that that if | x | = t Then, x = t 2 Calculation : As | x | < 1 10 L , On squaring each side, | x | 2 < ( 1 10 L ) 2 ⇒ x 2 < 1 100 L ⇒ 100 L < 1

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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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 58PS

To determine

To show that

f(x)>100L , if |x|<110L

Where f(x)=1x2 . And, also to compute Limx→0f(x) .

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Chapter 2.2, Problem 57PS

Chapter 2.2, Problem 59PS

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Chapter 2 Solutions

Calculus

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To show that f ( x ) > 100 L , if | x | < 1 10 L Where f ( x ) = 1 x 2 . And, also to compute L i m x → 0 f ( x ) .

Solution Summary: The author explains how to compute Lim_xto 0f(x).

Concept explainers

Videos

To show that

f(x)>100L , if |x|<110L

Where f(x)=1x2 . And, also to compute Limx→0f(x) .

Want to see the full answer?

Chapter 2 Solutions

To show that f ( x ) &gt; 100 L , if | x | &lt; 1 10 L Where f ( x ) = 1 x 2 . And, also to compute L i m x → 0 f ( x ) .

Solution Summary: The author explains how to compute Lim_xto 0f(x).

Concept explainers

Videos

To show that f(x)>100L , if |x|<110L Where f(x)=1x2 . And, also to compute Limx→0f(x) .

Want to see the full answer?

Chapter 2 Solutions

To show that f ( x ) > 100 L , if | x | < 1 10 L Where f ( x ) = 1 x 2 . And, also to compute L i m x → 0 f ( x ) .

To show that

f(x)>100L , if |x|<110L

Where f(x)=1x2 . And, also to compute Limx→0f(x) .