Question

Consider the function given byf(x, y) =((y^2−2^x)/(2x^2+y^2))^3.Show that lim(x,y)→(0,0)f(x, y)does not exist by computing the limit...

Consider the function given byf(x, y) =((y^2−2^x)/(2x^2+y^2))^3.Show that lim(x,y)→(0,0)f(x, y)does not exist by computing the limit along the positivex-axis and the positivey-axis.

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

As the limit of function along positive x-axis and positive y-axis at (x,y) = (0,0) are not same so we can conclude that limit does not exist

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the limit if it exists or show that the limit does not exist. lim (x,y)...
Find the limit if it exists or show that the limit does not exist. lim (x,y) to (0,0). y^2 sin^2x/ x^4+y^4
Find the limits, if they exist, or type DNE for any which do not exist. lim(x,y)→(0,0)5x^2/2x^2+y^2...
Find the limits, if they exist, or type DNE for any which do not exist. lim(x,y)→(0,0)5x^2/2x^2+y^2 1) Along the xx-axis: 2) Along the yy-axis: 3) Along the line y=mxy=mx : 4) The limit is:
f(x,y) = (x^4-y^2) / (x^4 + y^2). show the following limit does not exist, and explain...
f(x,y) = (x^4-y^2) / (x^4 + y^2). show the following limit does not exist, and explain why lim (x,y)->(0,0) f(x,y)
Determine each limit or explain why the limit does not exist. (a) lim(x,y)→(5,4) : (x −...
Determine each limit or explain why the limit does not exist. (a) lim(x,y)→(5,4) : (x − y − 1)/(√(x − y) − 1) (b) lim(x,y)→(0,1) : (sin(x^(2) + y − 1))/(5y + x^(2) − 5) (c) lim(x,y)→(3,2) : (4x + y)/(2x − 6)
Is the function f(x,y)=x−yx+y continuous at the point (−1,−1)? If not, why is the function not...
Is the function f(x,y)=x−yx+y continuous at the point (−1,−1)? If not, why is the function not continuous? Select the correct answer below: A. Yes B. No, because lim(x,y)→(−1,1)x−yx+y=−1 and f(0,0)=0. C. No, because lim(x,y)→(−1,1)x−yx+y does not exist and f(0,0) does not exist. D. No, because lim(x,y)→(0,0)x2−y2x2+y2=1 and f(0,0)=0.
find the limit, if it exists Lim (x,y)=(0,0) (xy^4)/((x^2)+(y^8))
find the limit, if it exists Lim (x,y)=(0,0) (xy^4)/((x^2)+(y^8))
consider the function f(x)= -1/x, 3, √x+2 if x<0 if 0≤x<1 if x≥1 a)Evaluate lim,→./ f(x)...
consider the function f(x)= -1/x, 3, √x+2 if x<0 if 0≤x<1 if x≥1 a)Evaluate lim,→./ f(x) and lim,→.2 f(x) b. Does lim,→. f(x) exist? Explain. c. Is f(x) continuous at x = 1? Explain.
Calculate each limit below, if it exists. If a limit does not exist, explain why. Show...
Calculate each limit below, if it exists. If a limit does not exist, explain why. Show all work. \lim _{x\to 3}\left(\frac{x-3}{\sqrt{2x+3}-\sqrt{3x}}\right) \lim _{x\to -\infty }\left(\frac{\sqrt{x^2+3x}}{3x+1}\right)
Consider the curve given by the equation sin(?−?)=2?+?sin⁡(x−y)=2x+y. The equation defines ?y as a function ?(?)y(x)...
Consider the curve given by the equation sin(?−?)=2?+?sin⁡(x−y)=2x+y. The equation defines ?y as a function ?(?)y(x) near (0,0)(0,0). (a) Find the equation of the tangent line to this curve at the point (0,0)(0,0). (b) Find ?″(0)y″(0).
hi guys , using this definition for limits in higher dimensions : lim (x,y)→(a,b) f(x, y)...
hi guys , using this definition for limits in higher dimensions : lim (x,y)→(a,b) f(x, y) = L if 1. ∃r > 0 s.th. f(x, y) is defined when 0 < || (x, y) − (a, b) || < r and 2. given ε > 0 we can find δ > 0 s.th. 0 < || (x, y) − (a, b) || < δ =⇒ | f(x, y) − L | < ε how do i show that this is...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT