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adam32885
 one year ago
Best ResponseYou've already chosen the best response.0Does that make sense or should i draw it?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1\[\huge \lim_{x \rightarrow 4}\frac{\frac{1}{4}+\frac{1}{x}}{4+x}\] It makes sense c: But I wanted to format it anway, heh.

adam32885
 one year ago
Best ResponseYou've already chosen the best response.0yes that is it we have only covered limit laws so far.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Ok this one isn't too bad.. it's just to test your silly math skills. So first let's get a common denominator on top.

adam32885
 one year ago
Best ResponseYou've already chosen the best response.0My "silly" math skills are slowly coming back I took precalc 5 years ago

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Remember how to get a common denominator? We'll just multiply them both together, that will be the easiest way to do it. So our common denominator will be 4x. It looks like the first term is missing an x, while the second term is missing a 4, So let's fix that. \[\huge \lim_{x \rightarrow 4}\frac{\left(\color{cornflowerblue}{\frac{x}{x}}\cdot \frac{1}{4}\right)+\left(\frac{1}{x}\cdot \color{cornflowerblue}{\frac{4}{4}}\right)}{4+x}\]Understand that part ok? :D

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1\[\huge \lim_{x \rightarrow 4}\frac{\left(\frac{4+x}{4x}\right)}{4+x}\]

adam32885
 one year ago
Best ResponseYou've already chosen the best response.0okay so now can the denominator of the whole problem cancel out the numerator on the top leaving 4x?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1oh well, um let's be careful a sec :)

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1We can write our problem like this,\[\large \lim_{x \rightarrow 4}\frac{\left(\frac{4+x}{4x}\right)}{4+x} \qquad =\qquad \lim_{x \rightarrow 4} \left(\frac{4+x}{4x}\right)\cdot \frac{1}{4+x}\]

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Maybe this will help you see what's going on better. So what happens when we cancel those out? :O

adam32885
 one year ago
Best ResponseYou've already chosen the best response.0it is 1/4x so the lim will be 1/16
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