Find the indicated limit, if it exists.

limit of f of x as x approaches 0 where f of x equals 5 x -9 when x

Question

Find the indicated limit, if it exists. 

limit of f of x as x approaches 0 where f of x equals 5 x -9 when x < 0 and the absolute value of the quantity 2- x when x is greater than or equal to 0

anonymous · Answer

@agent0smith

superdavesuper · Answer

im not sure but i THINK the limit value will be different when x approaches from -ve (0-) and +ve (0+) so there may be two different values.

anonymous · Answer

@e.mccormick

agent0smith · Answer

This is really hard to read... take a screenshot?

agent0smith · Answer

But if it's 
5 x -9 on the left
and 
|2-x| on the right, 

just plug in x=0 to each, you'll get -9 on the left, 2 on the right... so the limit does not exist, since the left and right are diff.