In Exercises 49–54, show that the limits do not exist. xy? ху + 1 49. (х, у) —(1,1) у — 1 50. (x, y)→(1, –1) x² – y? lim lim lim x In y хе 52. (х, у) —-(1,0) хе —1 + у 51. lim (x, y)→(0,1) x² + (In y)² tan y – y tan x у — х y + sin x 53. (x, y)→(0,0) X + sin y 54. lim (х, у) ——(1,1) lim

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
In Exercises 49–54, show that the limits do not exist.
xy?
ху + 1
49.
(х, у) —(1,1) у — 1
50.
(x, y)→(1, –1) x² – y?
lim
lim
lim
x In y
хе
52.
(х, у) —-(1,0) хе —1 + у
51.
lim
(x, y)→(0,1) x² + (In y)²
tan y – y tan x
у — х
y + sin x
53.
(x, y)→(0,0) X + sin y
54.
lim
(х, у) ——(1,1)
lim
Transcribed Image Text:In Exercises 49–54, show that the limits do not exist. xy? ху + 1 49. (х, у) —(1,1) у — 1 50. (x, y)→(1, –1) x² – y? lim lim lim x In y хе 52. (х, у) —-(1,0) хе —1 + у 51. lim (x, y)→(0,1) x² + (In y)² tan y – y tan x у — х y + sin x 53. (x, y)→(0,0) X + sin y 54. lim (х, у) ——(1,1) lim
Expert Solution
steps

Step by step

Solved in 4 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,