Anonymous From: - Posts: - Votes: - |
Show that lim (x,y) => (0,0) (xy^2)/(x^2 + y^2) does not exist. Please show work on paper** |

MathTeacher From: US Posts: 3 Votes: 3 |
F is not continuous at (0,0). The limit of f as (x,y) ->(0,0) does not exist. Consider the pair of paths: take (x,y) -> (0,0) along y = x lim x^3/(x^2 + x^4) = 0. x->0 take (x,y) ->(0,0) along y = v|x| lim x|x|/(x² + x²) = 1 and x->0+ lim x|x|/(x² + x²) = -1. x->0- Feel free to contact me. If you have any doubts Thanks :) |

TinyPro6 From: US Posts: 22 Votes: 88 |
F is not continuous at (0,0). The limit of f as (x,y) ->(0,0) does not exist. Consider (x,y) -> (0,0) along y = x lim x3/(x2 + x4) = 0. x->0 take (x,y) ->(0,0) along y = v|x| lim x|x|/(x² + x²) = 1 and x->0+ lim x|x|/(x² + x²) = -1. |

Anonymous From: - Posts: - Votes: - |
Watch http://www.youtube.com/watch?v=q9xIdF33ql8.....u will understand......... |

Anonymous From: - Posts: - Votes: - |
Lim (x,y) => (0,0) (xy^2)/(x^2 + y^2) exists and =0 suppose y=sin x and as per L hospital rule, lim (x,y) => (0,0) (xy^2)/(x^2 + y^2) = lim (x,y) => (0,0), x sin2x /(x^2 + sin 2x), take derivative, then lim (x,y) => (0,0), sin2x + x sin 2x /(2x + sin 2x), take again derivative, then lim (x,y) => (0,0), 2sin2x + 2 cos 2x/(2 + 2cos2x), =lim (x,y) => (0,0), sin2x + cos 2x/(1 + cos2x), as x and y approaches to 0, numerartor approaches to 1 and denominator to 2 hence it will be (1/2). If question is lim (x,y) => (0,0) (xy^2)/(x^2 - y^2) , then it does not exist. please check. |

Anonymous From: - Posts: - Votes: - |
If (x,y) -> (0,0) along y = x lim x3/(x2 + x4) = 0. x->0 take (x,y) ->(0,0) along y = v|x| lim x|x|/(x² + x²) = 1 and x->0+ lim x|x|/(x² + x²) = -1. |

- Find F '(x) For Each Of Thefollowing... ,
- X = E2t , Y = T +1a) Eliminate The Parameter To... ,
- ACCELERATION amp; NEWTON'S LAW A BODY MASS 2... ,
- If A Snowball Melts So That Its Surface Area... ,
- In Order Sketch The Graph We Need To Find The... ,
- When Taking The Particular Solution Of 2y" + 3y'... ,
- Find Two Numbers Whose Difference Is 100 And... ,
- I'm Given The Equation F(x,y) = -4x3 + 4xy - 2y2... ,
- Determine Whether The Given Sequence Is... ,
- Determine Whether The Given Sequence Is... ,
- I Would Just Like To Have The Problemed Solved To... ,
- R = F(#952;)= 1+2Cos3#952;r = F(#952;)= 2+Cos... ,
- T(dy/dt)+2y=sint ,
- For R(u,v)=2cos U I + v J+ 2sin U K, Find The... ,
- Find A Vector Valued Function Whose Graph Is The... ,
- I NEED HELP WITH THIS GEOMETRY QUESTION!!!!!? ,
- Do you memorize formulas for math? ,
- How to find constant k for a continuous function? ,
- How to find constant k for a continuous function? ,
- How to find constant k for continuous function? ,
- Find approximations to two decimal places for the coordinates of the point (x,y)? ,
- How to make the TI-83 "Solver" faster? ,
- What kind of math class does a high school student usually take every year? ,
- Math question help please!! please help!!? ,
- Integral question! Sqrt(6x - x^2)? ,

Copyright © 2020 YouGotMath.com | All Rights Reserved | Terms of Service