ry Let f(r, y) and let L = lim(.9)>(0,0) f(z, y). Which of the following statements is correct? %3D 6z2 + 9y? 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. O L-1/15 O L=0 O L does not exist because f(xy) is not defined at (0,0). 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. O L=3/8

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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• In the questions i and j denote the standard basis vectors in R?, i.e. i =< 1,0 > and j =< 0,1 >
• If the question is about vectors in R³, then i
=< 1,0,0 >, j =< 0,1,0 > and k =< 0,0, 1 >.
Transcribed Image Text:• In the questions i and j denote the standard basis vectors in R?, i.e. i =< 1,0 > and j =< 0,1 > • If the question is about vectors in R³, then i =< 1,0,0 >, j =< 0,1,0 > and k =< 0,0, 1 >.
ry
Let f(r, y)
and let L = lim(z.9)>(0,0) f(z, y). Which of the following statements is correct?
%3D
6z2 + 9y?
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.
O L-1/15
O L=0
O L does not exist because f(xy) is not defined at (0,0).
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.
O L=3/8
Transcribed Image Text:ry Let f(r, y) and let L = lim(z.9)>(0,0) f(z, y). Which of the following statements is correct? %3D 6z2 + 9y? 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. O L-1/15 O L=0 O L does not exist because f(xy) is not defined at (0,0). 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. O L=3/8
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