Question

Find the indicated limit, if it exists.

limit of f of x as x approaches 0 where f of x equals 5 x minus 8 when x is less than 0 and the absolute value of the quantity negative 4 minus x when x is greater than or equal to 0

Answer 1

f(x)=5x-8 } x<0
f(x)=4-x } x>0

Answer 2

like that?

Answer 3

oh -4 sry

Answer 4

f(x)=5x-8 } x<0
f(x)=|-4-x| } x>0

Answer 5

the limt DNE

Answer 6

since the value f(0-) != f(0+)

Answer 7

the values left of zero are not equal to the value at just right of zero

Answer 8

okay these are y answer choices
-4

-12

-8

The limit does not exist.
@dan815

Answer 9

okay so these are the rules

Answer 10

the limit doesnt exist at the point x=0 if from the left size of 0 you approach a different number as from left side

Answer 11

you mean that if from one side of 0 the limit approaches one number and from the other side of 0 the limit approaches a different number, than the limit doesn't exist.