Step 2: The function f(x) needs to be continuous at the left endpoint [-1]. 3 a. Evaluate the function f(x) = at x = -1 b. Find lim (E) x--1+ c. What did you observe between the values of f(-1) and lim f(x) ? x→ー1*
Step 2: The function f(x) needs to be continuous at the left endpoint [-1]. 3 a. Evaluate the function f(x) = at x = -1 b. Find lim (E) x--1+ c. What did you observe between the values of f(-1) and lim f(x) ? x→ー1*
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
NOTE: answer the step 2.
![Solution:
Step 1: The function f(x) needs to be verified continuous at the open interval (-1, 1) by
creating its table of values or simply knowing its restrictions with regard to its domain.
A. Table of values
X-values
y-values
F(x)= 3/x
_3_
-0.999
3.003003
-0.999
Does not exist
3
(Undefined)
0.9999
3
3.00030003
0.9999
B. Domain restriction of the function:
Domain of function f:
(-00,0) U (0,00)
Step 2: The function f(x) needs to be continuous at the left endpoint [-1].
a. Evaluate the function f(x) = - at x = -1
3
%3D
b. Find lim,(-)
x--1+
c. What did you observe between the values of f(-1) and lim f(x)?
x--1+](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff477fb22-1a08-43fd-97fa-632d8b11fb4c%2Fbc5e2ccf-7713-4745-a66a-99877a73a41e%2F77tautm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solution:
Step 1: The function f(x) needs to be verified continuous at the open interval (-1, 1) by
creating its table of values or simply knowing its restrictions with regard to its domain.
A. Table of values
X-values
y-values
F(x)= 3/x
_3_
-0.999
3.003003
-0.999
Does not exist
3
(Undefined)
0.9999
3
3.00030003
0.9999
B. Domain restriction of the function:
Domain of function f:
(-00,0) U (0,00)
Step 2: The function f(x) needs to be continuous at the left endpoint [-1].
a. Evaluate the function f(x) = - at x = -1
3
%3D
b. Find lim,(-)
x--1+
c. What did you observe between the values of f(-1) and lim f(x)?
x--1+
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