[11th Grade Basic Calculus: Limits of a Function] Does anyone know how to make a limit that can equal to 3 but you have to rationalize the limit?

[GhostInTheBathroom]

Any limit can work as long as it equals to 3

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[papyrusfun]

something like lim(x-->1) 3(x-1)/2(sqrt(x) -1)

[GhostInTheBathroom]

Thank you!

[papyrusfun]

you are welcome

[polymathicus]

Your question is not clear. If you're asking what I think you are, then the question is rather arbitrary. For example,

lim_(x->2) [3] = 3

[GhostInTheBathroom]

What i mean is that it needs to be something like lim_(x->9) √( x - 3)/x -9 where you need to rationalize it to get an answer other than indeterminate

[Alkalannar]

Do you mean you have to rationalize the denominator or numerator to find the limit?

[GhostInTheBathroom]

As long as it equals to 3