limits

[khryss]

lim (1/x)-(1/3) / (x-3)
x-> 3

the answer is -1/9 but I get something different when I try...

 

[MarkFL]

Try multiplying the expression by \(\displaystyle 1=\dfrac{3x}{3x}\) to clear the denominators in the numerator.

 

[khryss]

awesome thanks

 

[lookagain]

lim (1/x)-(1/3) / (x-3)
x-> 3

the answer is -1/9 but I get something different when I try...

khryss,

you must type the problem with grouping symbols around the numerator,
such as (but not limited to) these:


lim (x -> 3) ((1/x) - (1/3))/(x - 3) or

lim(x -> 3) [(1/x) - (1/3)]/(x - 3)



This is the equivalent of the intended expression that you are after:

\(\displaystyle \displaystyle\lim_{x \to 3} \bigg(\dfrac{\frac{1}{x} - \frac{1}{3}}{ \ x - 3 \ }\bigg)\)