Recognize a product of two vars in Mathematica?

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To get Mathematica to recognize the product of two variables for limit calculations, replace the product (R*W) with a single variable, such as t. This allows you to compute limits more easily, for example, using Limit[x*t^2 + 4*x, t -> 0]. For multidimensional limits, you can specify the variables directly, like Limit[x*(R*W)^t + 4*x, {R,W} -> {0,0}]. This approach simplifies the process of handling limits involving products of variables. Understanding these methods can enhance your ability to perform complex limit calculations in Mathematica.
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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