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what exactly is going on in the highlighted region of this limit evaluated as x approaches pi/4?
http://i47.tinypic.com/2akkxvq.png
i understand how you eventually come up with those two parts of the limit and evaluate them separately, but why is the highlighted part 1?
 one year ago
 one year ago
what exactly is going on in the highlighted region of this limit evaluated as x approaches pi/4? http://i47.tinypic.com/2akkxvq.png i understand how you eventually come up with those two parts of the limit and evaluate them separately, but why is the highlighted part 1?
 one year ago
 one year ago

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UnkleRhaukusBest ResponseYou've already chosen the best response.1
\[\lim\limits_{x\rightarrow\pi/4}\frac1{\cos(x)}\cdot\boxed{\dfrac{\cos(x)\sin(x)}{\sin(x)\cos(x)}}\]\[=\lim\limits_{x\rightarrow\pi/4}\frac1{\cos(x)}\cdot\boxed{\dfrac{1\left(\sin(x)\cos(x)\right)}{\sin(x)\cos(x)}}\]\[=\lim\limits_{x\rightarrow\pi/4}\frac1{\cos(x)}\cdot\boxed{1}\]
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.1
the numerator has been rearranged and the common factor of sin xcos x cancels
 one year ago
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