3. In each of the following, describe the set over which the function is continuous. Then find the value of the indicated limit if it exists. If a limit does not exist, justify that conclusion with an appropriate calculation. (a) lim (2,y)→(1,1) (b) a2+2y²+32? 1²+y²+z² lim (2,y,2)→(0,0,0) (c) lim 2x2y (2,y) (0,0)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. In each of the following, describe the set over which the function is continuous.
Then find the value of the indicated limit if it exists. If a limit does not exist,
justify that conclusion with an appropriate calculation.
(a)
lim
²-y?
(2,y)→(1,1)
(b)
a²+2y²+32?
12+y?+z2
lim
(2,y,2)→(0,0,0)
(c)
lim
2x2y
(2,y) (0,0)
Transcribed Image Text:3. In each of the following, describe the set over which the function is continuous. Then find the value of the indicated limit if it exists. If a limit does not exist, justify that conclusion with an appropriate calculation. (a) lim ²-y? (2,y)→(1,1) (b) a²+2y²+32? 12+y?+z2 lim (2,y,2)→(0,0,0) (c) lim 2x2y (2,y) (0,0)
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