Recognize a product of two vars in Mathematica?

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SUMMARY

The discussion focuses on how to get Mathematica to recognize the product of two variables for limit calculations. Specifically, the user inquires about taking the limit of the function F[x] = x*(R*W)^2 + 4*x as (R*W) approaches 0. The solution provided involves substituting (R*W) with a new variable, t, allowing the user to compute the limit using the command Limit[x*t^2 + 4*x, t -> 0]. For multidimensional limits, the syntax Limit[x*(R*W)^t + 4*x, {R,W} -> {0,0}] is recommended.

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eNaught
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I am wondering if anyone can tell me how to get Mathematica to recognize the product of two variables so that I can do things like take limits. For example, if I had a function F[x] = x*(R*W)^2 + 4*x and I want Mathematica to take the limit as (R*W)->0, how can this be done? I realize this example is very trivial but I am just trying to explain what I want to do. Thanks in advance.
 
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In your case, the simplest thing to do is replace (R*W) with some variable (say t). Then you just take Limit[x*t^2 + 4*x, t -> 0]. In your example you are only really taking a one dimensional limit, after all.

If you do need to take a multidimensional limit, you say:

Limit[x*(R*W)^t + 4*x, {R,W} -> {0,0}
 

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