xyLet f(x, y)and let L = lim=3)→(0,0) f(x, y). Which of the following statements is correct?5æ2 + 4y2dangisi stradur?O L does not exist because the limit as (x,y) goes to (0,0) along the x-axis is different from the one along the y-axis.Lveltur.)fekeoni vo v okconi üzosiitler farklı ot"O L does not exist because the limit as (x,y) goes to (0,0) along the x-axis is different from the one along the line x=y.olduğu icin lirvatur.)O L=0O L=1/9O L=3/8O L does not exist because f(x,y) is not defined at (0,0).

Answered: Image /qna-images/answer/9ce190e4-ed29-41b1-91de-76e97c9c382c.jpg

xY Let f(x, y) and let L = lim(z.y)→¬(0,0) f(x, y). Which of the following statements is correct? 5x² + 4y² O L does not exist because the limit as (xy) goes to (0,0) along the x-axis is different from the one along the y-axis. ELvektur.) O L does not exist because the limit as (xy) goes to (0,0) along the x-axis is different from the one along the line x=y. olduğu icin li fmelkaami vov okconi üzorin mitler farklı otat atar.) O L=0 O L=1/9 O L=3/8 O L does not exist because f(x,y) is not defined at (0,0). (fe

xY Let f(x, y) and let L = lim(z.y)→¬(0,0) f(x, y). Which of the following statements is correct? 5x² + 4y² O L does not exist because the limit as (xy) goes to (0,0) along the x-axis is different from the one along the y-axis. ELvektur.) O L does not exist because the limit as (xy) goes to (0,0) along the x-axis is different from the one along the line x=y. olduğu icin li fmelkaami vov okconi üzorin mitler farklı otat atar.) O L=0 O L=1/9 O L=3/8 O L does not exist because f(x,y) is not defined at (0,0). (fe

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

Related questions

Q: ry Let f(r, y) and let L = lim(z.1) >(0,0) f(x, y). Which of the following statements is correct?…

A: Third option is correct.

Q: Construct the inverse matrix (if it exists) for the following matrices: [12 61 (а) А %— 4 2. 1 -2]…

A: We will find out the required solution.

Q: xY Let f(x, y) and let L = lim(z,9)→(0,0) f(x, y). Which of the following 4x2 + 3y2 statements is…

Q: Find the limit (enter 'DNE' if the limit does not exist) 1) Along the x-axis: 2) Along the y-axis:…

A: We have to find limit value along different path and examine that lim is exist or not.

Q: Evaluate the indicated limit or explain why it does not exists: x²y² lim (z,y) (0,0) 2x4+y¹

Q: For the line that has the equation X1 + 2X2 = 10, will pass through: %3D O (5,4) (10,1) O (2,4) O…

A: Given that The equation of a line is x1+2x2=10 To find a point that will pass through the given…

Q: Show that the limit does not exist: (x - 1)(y-2)² lim (x,y)→(1,2) (x − 1)² + 5(y − 2)4* -

A: Given, lim(x, y)→(1, 2)(x-1)(y-2)2(x-1)2+5(y-2)4

Q: Find the limit. lim (x, y) -(1,-10) y#-10 y+10 x2y + 6y + 10x2+60

A: Given limit, lim(x,y)→(1,-10)y+10x2y+6y+10x2+60

Q: Let f(x) = 1 + x² and g(x)=√x + 2. Find the following limit: lim(1(z)) g A) 4 B) √7. C) 2 O D) 5 O…

A: Given problem:-

Q: 1. Evaluate the following limits: 2²+y? (a) lim(,y)→(1,–1) 2ry (b) lim(z,y)→(2,1) 3r+3y2 (c)…

A: According to our guidelines we can only answer 1 question or 3 subparts only, rest you can repost

Q: Let f(x, y) = (x2)/(x4+y). Show that Lim (x,y)→(0,0)f(x, y) does not exist.Hint: Consider y = kx2…

A: The given function is

Q: Find the limit lim (z,y) → (0,0) 3x² + 3y² x² + y² + 16. -4)

Q: I can't find the limit.

A: Obtain the value of limit as follows:

Q: x² - y 7. Show that the function 8(x,»)= *²-y has no limit as (x,y)→(0,0). х— у

A: Along two different paths value of limit are different then limit does not exist

Q: 2.a?y Using paths, show that the following limit does not exist. lim (x,y)→(0,0) 3x4 + y?

A: According to the given information, it is required to show that limit does not exist.

Q: Determine which of the given limits does not exist 2y² 2x² - y² A. lim (x.v)-(0,0) x²y (x.v)-(0,0)…

A: determine the limits

Q: xY Let f(x, y) : and let L = lim(z,y)→(0,0) f(x, y). Which of the following 3x2 + 8y2 statements is…

Q: X- Zx +3x+2 lim

A: Solution of question as follows

Q: Show the limit does not exist by choosing two paths to the origin whose limits L1 and L2 are not the…

Q: im(z,v) →(0,0) F(x, y).

Q: Find the limit or show that it does not exist t y lim (x,y)→(0,0) x² + y²

Q: Find the limit: 3x4 - 3¹ 3y4 lim (x,y) → (3,3) x² - y² ||

A: Find the limit

Q: f(x, y) a b) 3xy 4x²+2y² Find the domain of f. Show that the limit = does not exist. lim (x,y) →…

A: Given - fx,y=3xy4x2+2y2 To find the domain of the given function. Domain - Domain is the set of all…

Q: Show that the limits do not exist

Q: x²y² lim(z,y)→(0,0) z²y²+(x−y)²

A: limx,y→0,0x2y2x2y2+x-y2 Let y=mx…

Concept explainers

Limits of Multivariable Functions

Multivariable calculus is an extension of single variable calculus. It involves several variables instead of just one. Assume there is an open set containing points (x0, y0), let f be a function defined in that open interval except for the points (x0, y0). The multivariable limit of this function as it approaches the points (x0, y0) and is denoted as:

Question

xy
Let f(x, y)
and let L = lim=3)→(0,0) f(x, y). Which of the following statements is correct?
5æ2 + 4y2
dangisi stradur?
O L does not exist because the limit as (x,y) goes to (0,0) along the x-axis is different from the one along the y-axis.
Lveltur.)
fekeoni vo v okconi üzosi
itler farklı ot"
O L does not exist because the limit as (x,y) goes to (0,0) along the x-axis is different from the one along the line x=y.
olduğu icin lirvatur.)
O L=0
O L=1/9
O L=3/8
O L does not exist because f(x,y) is not defined at (0,0).

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Limits and Continuity$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

Please explain in details
Find the limit: 4x4 – 4y4 lim (1,9)→ (3,3) z2 – y?
Which of the following expressions are true for the limits : 3x²y? III. 2 2 I. (x,y)-0,0) lim (* +y),sin II. lim 2X-y lim x +y³ (x,y)-0,0) x*+2y* (x.y) (0,0) 2+2*+y (a) I: Limit exists and the value is 1 (b) I: Limit does not exist II: Limit does not exist II: Limit does not exist III: Limit exists and the value is III: Limit exists and the value is (c) I: Limit exists and the value is 0 (d) I: Limit exists and the value is 0 II: Limit exists and the value is 1 II: Limit does not exist III : Limit exists and the value is III: Limit exists and the value is 3 (e) I: Limit does not exist II: Limit does not exist III: Limit does not exist 12
Show that the limit exists : 2x²siny 2) lim (x,y)→(0,0) 2x² + y²
Evaluate the indicated limit or explain why it does not exists: x² (y - 1)² lim (x,y) (0,1) x² + (y − 1)²
-6x, z 7. f(x) = 1, 6x, Find the indicated one-sided limits of A and determine the continuity of fA at the indicated point.
2. Find the limit x3 lim (x,y) (0,0) x²+y2. Show work!