## burhan101 3 years ago Rational limits, okay so i don't understand this at all ..

1. burhan101

$\lim_{x \rightarrow 3}\frac{ \frac{ 1 }{ x } -\frac{ 1 }{ 3 }}{ (x-3) }$

2. ash2326

Simplify the numerator first @burhan101

3. burhan101

would i multiply it by 3x/3x ?

Could you use draw? the equation can't be seen.

5. burhan101

|dw:1350447657304:dw|

yes. multiply by 3x you'll get rid of the denominator

7. ash2326

$\lim_{x\to 3}\frac{\frac{3-x}{3x}}{x-3}$ $\lim_{x\to 3}\frac{3-x}{3x(x-3)}$ Now simplify this and put x=3

8. burhan101

i get this |dw:1350447751544:dw|

3-x equals to -(x-3)

10. burhan101

or so i should probably rearrange it

11. burhan101

-1/9 ?

yup! :)

13. burhan101

t-y :)