Use the e-8 definition of infinite limits to prove the statement. lim X-5- X- 5 f(x) = 1 is defined for all x # Let N < O be given. Find 8 > O such that f(x) = 1 < N whenever 5 - 8 < x < 5. Let 8 = ---Select--- v. Then for x - 5 x – 5 Enter a number. 15 - 8| < x and x < 5, ---Select-- v , and 1 |x - 5| ---Select--- |x - 5| . Thus lim x-5- X - 5
Use the e-8 definition of infinite limits to prove the statement. lim X-5- X- 5 f(x) = 1 is defined for all x # Let N < O be given. Find 8 > O such that f(x) = 1 < N whenever 5 - 8 < x < 5. Let 8 = ---Select--- v. Then for x - 5 x – 5 Enter a number. 15 - 8| < x and x < 5, ---Select-- v , and 1 |x - 5| ---Select--- |x - 5| . Thus lim x-5- X - 5
Related questions
Question
Transcribed Image Text:Use the e-S definition of infinite limits to prove the statement.
lim
-00
%3D
X -
X→5
f(x)
1
is defined for all x #
Let N < 0 be given. Find 8 > 0 such that f(x)
< N whenever 5 – 8 < x < 5. Let 8 =
Then for
---Select--- v
х — 5
х — 5
Enter a number.
1
and
1
1
15 - 8| < x and x < 5,
>
---Select--- V
< ---Select--- v
Thus
lim
= -0,
|x - 5|
х — 5
|x – 5|
X→5- X
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
