Evaluate the following limit: tan(4x“ + 4y*) 4x2 – 4y? lim (z,y)→(0,0) 8x4 + 8y4 x – y O 2 1 2 The limit does not exist. 4一5
Evaluate the following limit: tan(4x“ + 4y*) 4x2 – 4y? lim (z,y)→(0,0) 8x4 + 8y4 x – y O 2 1 2 The limit does not exist. 4一5
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:Evaluate the following limit:
tan(4x + 4y4)
4x2 – 4y?
lim
(1,4)→(0,0)
8x4 + 8y4
O 2
1
2
The limit does not exist.
Transcribed Image Text:4xy4
if(x, y) # (0,0)
4x4 + 4y4
Let f(x, y)
if (x, y) = (0,0)
2xy4
if (x, y) # (0,0)
and let g(x, y)
2x2 + 2y8
if (x, y) = (0,0)
Which of the above functions are continuous at (0,0)?
f and g
f only
g only
neither
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