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hpfan101
 one year ago
What is the limit as x approaches 2 of the function (1/x  1/3)/(x3)?
The fractions part of the problem made me confused and get the wrong answer.
hpfan101
 one year ago
What is the limit as x approaches 2 of the function (1/x  1/3)/(x3)? The fractions part of the problem made me confused and get the wrong answer.

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hpfan101
 one year ago
Best ResponseYou've already chosen the best response.0\[\lim_{x \rightarrow 3} (\frac{ 1 }{ x }  \frac{ 1 }{ 3 })/(x3) \]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what would you get for.. say \(\bf \cfrac{1}{x}\cfrac{1}{3}?\)

hpfan101
 one year ago
Best ResponseYou've already chosen the best response.0You'd get 0 when you subsitute 3 for x.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0well.. I meant the numerator only :)

hpfan101
 one year ago
Best ResponseYou've already chosen the best response.0The only thing I don't get is that I got 0 both in the numerator and the denominator. Not sure what to do next.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0right... one sec bear in mind that \(\bf ab \iff (ba)\) one sec

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\(\bf \lim\limits_{x\to 3}\ \cfrac{\frac{1}{x}\frac{1}{3}}{x3} \\ \quad \\ \cfrac{\frac{3x}{3x}}{x3}\implies \cfrac{\frac{3x}{3x}}{\frac{x3}{1}}\implies \cfrac{3x}{3x}\cdot \cfrac{1}{x3} \\ \quad \\ \cfrac{3x}{3x(x3)}\implies \cfrac{{\color{brown}{ \cancel{(x3)}}}}{3x\cancel{(x3)}}\)

hpfan101
 one year ago
Best ResponseYou've already chosen the best response.0Oh, now I see what I was supposed to do! Thank you very much!
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