Prove that the limit does not exist: lim (x,y,z)--> (0,0,0) (xy +yz) / (x2+y2+z2)
Prove that the limit does not exist:
lim (x,y,z)--> (0,0,0) (xy +yz) / (x2+y2+z2)
Homework Answers
> You are NOT supposed to say that the limit doesn't exist just because 0/0 isn't defined!! The limit is not defined because the limit is different when it approaches to two different paths(for example, x=y=z makes the limit 2/3 and y=0=z makes the limit 0), and therefore the limit does not exist.
Kyoungbin Park Fri, Oct 22, 2021 10:55 AM
The limit is not defined because the limits are different when it approaches to two different paths(for example, x=y=z makes the limit 2/3, and y=0=z makes the limit 0), and therefore the limit does not exist.
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Prove that the limit does not exist: lim (x,y,z)--> (0,0,0) (xy +yz) / (x2+y2+z2)
1. Find lim(x,y)=(1,1) x2-y2 2xy 2. Show that lim(x,y)-(0,0) 21 z does not exist 3. Show...
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please answer both of them and show all the steps
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1. Find lim(x,y)=(1,1) x2-y2 2xy 2. Show that lim(x,y)-(0,0) 21 z does not exist 3. Show that lim(x,y)=(0,0) z?”, does not exist 4. Find lim(x,y)=(0,0) eye if it exists, or show that the limit does not exist
please answer both of them and show all the steps
, (b) Find or show the limit does not exist:linm (x, y) → (0,0) x2 + y2 8, (b) Show that the following limit does not exist 2 lim (x, y) → (0,0) x2 + y2
, (b) Find or show the limit does not exist:linm (x, y) → (0,0) x2 + y2 8, (b) Show that the following limit does not exist 2 lim (x, y) → (0,0) x2...
f(x, y) = y/(sqrt(z? + y2) + x) Evaluate the limits below, if they exist. If the limit does not exist, explain why it does not exist Yon musi elearly staie if you ity, lopital's rle or the sandwch theorem in your working. You do not need to justify using limit laws. (i) lim f(x, y) (ii) im f(r, y (iv) zlin2-1.0 arctan ^Ca.v)l
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Evaluate the limits below, if they exist. If...
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> Answer #1 seems like a wrong way to prove that the limit does not exist, because some limits that ends up with 0/0 might be defined in some cases. I hope you check my answer(answer #2), which proves that the limit does not exist because the limits are different due to different paths to approach.
Kyoungbin Park Fri, Oct 22, 2021 11:00 AM