Question

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

Answer 1

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

Answer 2

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

Answer 3

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.

Answer 4

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

Answer 5

lim x-> 4 ......

Answer 6

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

Answer 7

the one sided limits dont agree

Answer 8

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

Answer 9

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

Answer 10

thanks all, had to restart my comp!

Answer 11

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