B. 1. f(-4) 2. lim f(x) X--3+ 3. lim f(x) x-0 4. lim f(x) 5. lim f(x) x-5
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

Transcribed Image Text:B.
V V
1. f(-4)
2. lim f(x)
3. lim f(x)
4. lim f(x)
5. lim f(x)
x-5

Transcribed Image Text:B. LIMITS at INFINITY
Recall your lesson in Piece-wise function.
X→C
In this lesson, you must be able to differentiate between f(c) and lim f(x). In evaluating a function f(c),
when you do DIRECT SUBSTITUTION, the result must be a DEFINED NUMBER (A NUMBER THAT
EXIST), otherwise f(c) is UNDFINED. Contrary to lim f(x), when you do direct substitution, the answer
maybe indeterminate 0/0 but THERE IS A WAY TO EVALUATE THE LIMIT USING MANY
TECHNIQUES, otherwise lim f(x) DOES NOT EXIST.
x→c
X-C
Let us examine the piece-wise function below.
0
1. f(-4)
2. f(-2)
3. f (0)
The function is defined by the equation.
4. f (1)
5. f(2)
6. f (3)
f(x) =
2+7, -4≤x≤-2
-2,
7. f (4)
8. f(7).
-1,
(x-2)²,
x-4
x-7
7
A Self-Regulated Learning Module
2<x< 1
x = 1
1<x< 4
J
FINDING FOR f(c). Let us examine the piece-wise function above. Our goal is to find the following:
4<x<7
x = 7
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 with 1 images

Recommended textbooks for you

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,

