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$$\lim _{x \rightarrow 0} 6 x^{2}(\cot x)(\csc 2 x)$$

The answer is 3

Calculus 1 / AB

Chapter 2

Limits and Continuity

Section 4

One-Sided Limits

Limits

Derivatives

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plugging in Initially here we get 0/0. And so we'll go ahead and re arrange and rewrite some terms. For instance, co sign Sorry. Co tangent is really the same thing as co sign of X over sign of X and CO seeking to X Well, we'll keep green is the same thing as wand over sign of two X. Now we've been using rules involving X over sign of X and so on, and so that this is what we're gonna do. Finally, we're gonna go ahead and split up this expression here What will rewrite everything under me. So one way to do that, we could call it three times two x times x on the reason that I've chosen this is because if we looked at X over sign of X since experts zero, this would be one. Similarly, this two x divided by sine of two X would also give us one. And so ultimately, we're really just left with. That's three here. So this amendment evaluates 23

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