- #1

- 21

- 0

I wish to define a function z(x, y) based on the following limits:

1. lim z (x→∞) = 0

2. lim z (x→0) = y

3. lim z (y→∞) = ∞

4. lim z (y→0) = 0

- B
- Thread starter maxhersch
- Start date

- #1

- 21

- 0

I wish to define a function z(x, y) based on the following limits:

1. lim z (x→∞) = 0

2. lim z (x→0) = y

3. lim z (y→∞) = ∞

4. lim z (y→0) = 0

- #2

- 9,482

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##z(x,y)=ye^{-x}##? Can you think of another one?

- #3

mathman

Science Advisor

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##z=\frac{y}{1+x}##.

- #4

mfb

Mentor

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For ##x<-1## this doesn't have the right behavior for ##y \to \infty##. If we require x,y to be non-negative it works.##z=\frac{y}{1+x}##.

- #5

mathman

Science Advisor

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##z=\frac{y}{1+x^2}##

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