Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Let f be a real function, defined everywhere on R. Prove that if lim f(x) = L, then also lim f(-x) = L. (Here of course lim denotes the limit as a goes to -2 from the right.) Hint: Your proof is likely to use the letters and 6.

Let f be a real function, defined everywhere on R. Prove that if lim f(x) = L, then also lim f(-x) = L. (Here of course lim denotes the limit as a goes to -2 from the right.) Hint: Your proof is likely to use the letters and 6.

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

advance math

Let f be a real function, defined everywhere on R. Prove that if denotes the lim f(x) = L, then also lim f(-x) = L. (Here of course lim x-2- x→-2+ x-2+ limit as a goes to −2 from the right.) Hint: Your proof is likely to use the letters and d. €
Transcribed Image Text:Let f be a real function, defined everywhere on R. Prove that if denotes the lim f(x) = L, then also lim f(-x) = L. (Here of course lim x-2- x→-2+ x-2+ limit as a goes to −2 from the right.) Hint: Your proof is likely to use the letters and d. €
Expert Solution
Step 1

To Prove: If limx→2-fx=L then limx→-2+f-x=L.

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
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,
SEE MORE TEXTBOOKS