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How to calculate limit of a multivariable function?

Cornel
19-Tanzanite

How to calculate limit of a multivariable function?

Hello,

How to enter and then how to calculate such kind of limits in Mathcad Prime?

Cornel_0-1690527696908.png

 

 

Cornel_0-1690527862989.png

Cornel_1-1690527869466.png

 

 

ACCEPTED SOLUTION

Accepted Solutions
Werner_E
25-Diamond I
(To:Cornel)

5 REPLIES 5
Werner_E
25-Diamond I
(To:Cornel)

Werner_E_0-1690528343354.png

 

Cornel
19-Tanzanite
(To:Werner_E)

I was thinking that this is done in this way, but I was wondering if exists a more compact way of calculate such kind of limits of multivariable function, like in the manner I shown above, writing one single limit operator (because if my function has 4,5,6, etc variables then I need to write 4,5,6 limit operator)

Werner_E
25-Diamond I
(To:Cornel)

If there would be a "more compact" way, then this way would have to offer an option to define the order.

As you can see below, the order may matter

Werner_E_0-1690528976095.png

Of course in your example using "lim" does not make sense as you could as well use substitute or define the variables

Werner_E_1-1690529109689.png

 

 

Cornel
19-Tanzanite
(To:Werner_E)

So, for this function:

Cornel_3-1690529745893.png

Cornel_4-1690529766451.png

I can see graphically what the limit is,beside calculating the limit with limit operator:

Cornel_5-1690529786095.png

 

 

 

Then for this function:

Cornel_6-1690529831897.png

Cornel_7-1690529839325.png

How could I see graphically what the limit is?


And for this function:

Cornel_8-1690530017818.png

Cornel_9-1690530028955.png

How could I see graphically what the limit is?

 

 

And for this function:

Cornel_10-1690530077712.png

Cornel_11-1690530084511.png

How could I see graphically what the limit is?

 

 

 

Werner_E
25-Diamond I
(To:Cornel)

For your second example use a 3D plot

For the other examples contact PTC and suggest that they should implement 4D and 5D plots 😈

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