Evaluate the limit as x goes to 4 from the left side:
(x-4)/absolute(x-4)

Question

anonymous · Answer

would this mean I use -4 as the x because we are coming for the left hand side?

anonymous · Answer

It will be -1 as the limit is 1 if x-4>0 and -1 if it is less

anonymous · Answer

see wen x goes to 4 from the left hand side it is close to 4 but less than it...(as it goes from3->3.5->3.99999999) so |x-4|=4-x(by property and hence u get the value as -1.

amistre64 · Answer

$$\lim_{x ->0}\frac{x-4}{|x-4|}$$
the limit of a ration is the ration of limits ...... right?

amistre64 · Answer

lim x-> 4 ......

amistre64 · Answer

http://www.wolframalpha.com/input/?i=lim {x+to+4}%28x-4%29%2F|x-4|

amistre64 · Answer

the one sided limits dont agree

amistre64 · Answer

lim from the left is -1
lim from the right is 1

amistre64 · Answer

$$x=3; f(x)=\frac{-1}{1}$$
$$x=5; f(x)=\frac{1}{1}$$
and so it goes

anonymous · Answer

thanks all, had to restart my comp!

anonymous · Answer

it;s the limit as x goes to 4 from the left