# calc help (limit and continuity of a multivariable equation)

• Feb 26th 2006, 01:16 PM
me > jallison + brownie
calc help (limit and continuity of a multivariable equation)
I need help with a math problem or else Ms. Vick will lower my grade.

How do I find the limit and determine the continuity of this equation?

lim x*e^(yz)
(x,y,z) -> (2,0,1)

Thanks.
• Feb 26th 2006, 02:50 PM
topsquark
Quote:

Originally Posted by me > jallison + brownie
I need help with a math problem or else Ms. Vick will lower my grade.

How do I find the limit and determine the continuity of this equation?

lim x*e^(yz)
(x,y,z) -> (2,0,1)

Thanks.

The first question to ask when you are doing a limit: "Is there anything to stop the variables from taking on those quantities?" In particular, things to look out for that can happen are $\displaystyle 0/0, \, \infty/ \infty, \, 0^0$ and practically anything else that isn't well defined.

In this case nothing bad is going on. e^(0*1) is pretty tame and there's nothing to stop x from being 2. So basically you can just plug in the values for x, y, and z.

I can't help you with continuity, because you haven't listed an equation!

-Dan