Let f be defined on a neighborhood of xo. Show that if ø is defined on a neighborhood of to and continuous at to with x = $(t) and xo = $(to) then lim f(x) = lim f($(t)). t→to

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

130 10

10. Let f be defined on a neighborhood of xo. Show that if ø is defined on a neighborhood
of to and continuous at to with x = .
= $(t) and xo = ¢(to) then
lim f(x) = lim f(ø(t)).
tto
Transcribed Image Text:10. Let f be defined on a neighborhood of xo. Show that if ø is defined on a neighborhood of to and continuous at to with x = . = $(t) and xo = ¢(to) then lim f(x) = lim f(ø(t)). tto
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
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…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,