Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

need help with the folowing 2 parts By considering different paths of approach, show that the function below has no limit as (x,y}>(0,0). X4 it?)

need help with the folowing 2 parts

image text in transcribedimage text in transcribed
By considering different paths of approach, show that the function below has no limit as (x,y}>(0,0). X4 it?) : X4 + Y2 Examine the values of f along curves that end at {0,0}. Along which set of curves is f a constant value? OA. y=kx2,xo OB. y=kx,xi0 0c. yzkx+loc2,x#0 O D. 1; = 06\What can you conclude? O A. Since thas the same limit along two different paths to (0,0)' in cannot be determined whether or not f has a limit as (x,y) approaches (0,0). 0 B. Since f has two different limits along two different paths to {0,0}, by the twopath test, f has no limit as (x,y} approaches (0.0). O C. Since thas two different limits along two different paths to {0,0}, in cannot be determined whether or not t has a limit as Our) approaches (00). O D. Since thas the same limit along two different paths to (0,0), by the twopath test, f has no limit as (x,y) approaches (0,0)

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Intro Stats

Authors: Richard D. De Veaux, Paul F. Velleman, David E. Bock

3rd edition

321533283, 321533289, 9780321463708, 9780321503848, 9780321503800, 9780321499431, 9780321499417, 978-0321500458

More Books

Students also viewed these Mathematics questions