Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
(a) What is wrong with the following use of l'Hopital's rule? x° + x – lim +1 х2 — Зх +2 3x2 +1 = lim +1 2х — 6x = lim = 3. 3 x→1 2 - (b) Find the actual limit.

(a) What is wrong with the following use of l'Hopital's rule? x° + x – lim +1 х2 — Зх +2 3x2 +1 = lim +1 2х — 6x = lim = 3. 3 x→1 2 - (b) Find the actual limit.

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
100%

Ive attached the rule. Thank you very much

(a) What is wrong with the following use of l'Hopital's rule? х3 +х — 2 lim x→1 x² 3x2 lim x→1 2x +1 6x lim %3D Зх + 2 3 x→1 2 (b) Find the actual limit. 3.
Transcribed Image Text:(a) What is wrong with the following use of l'Hopital's rule? х3 +х — 2 lim x→1 x² 3x2 lim x→1 2x +1 6x lim %3D Зх + 2 3 x→1 2 (b) Find the actual limit. 3.
(L’Hopital's Rule). Suppose I is an open interval containing a, and f, g : I → R are differentiable on I, except possibly at a. Then, if lim f(x) = 0 and lim g(x) = 0, or if lim f(x) to and lim g(x) = ±o, then f(x) f'(x) lim lim g(x) x→a g'(x)' f'(x) provided the limit lim exists. g'(x)
Transcribed Image Text:(L’Hopital's Rule). Suppose I is an open interval containing a, and f, g : I → R are differentiable on I, except possibly at a. Then, if lim f(x) = 0 and lim g(x) = 0, or if lim f(x) to and lim g(x) = ±o, then f(x) f'(x) lim lim g(x) x→a g'(x)' f'(x) provided the limit lim exists. g'(x)
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

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