ax? + sin? y Let a be a nonzero constant such that a + 80. Let f(x, y) = and let L = lim(z.1) 2(0.0) f(x, y). Which of the following statements is 80x? + y? correct? O L exists if a=81 because in this case the limit as (x,y) goes to (0,0) along x=0 is the same as the one along y=x. 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=1 O L=a/80 O L does not exist because f is undefined at (0,0).
ax? + sin? y Let a be a nonzero constant such that a + 80. Let f(x, y) = and let L = lim(z.1) 2(0.0) f(x, y). Which of the following statements is 80x? + y? correct? O L exists if a=81 because in this case the limit as (x,y) goes to (0,0) along x=0 is the same as the one along y=x. 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=1 O L=a/80 O L does not exist because f is undefined at (0,0).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:ax? + sin? y
Let a be a nonzero constant such that a + 80. Let f(x, y) =
and let L = lim(z.1) 2(0,0) f(x, y). Which of the following statements is
80x? + y?
correct?
O L exists if a=81 because in this case the limit as (x,y) goes to (0,0) along x=0 is the same as the one along y=x.
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=1
O L=a/80
O L does not exist because f is undefined at (0,0).
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