Question

Find the indicated limit, if it exists.

limit of f of x as x approaches 2 where f of x equals x plus 3 when x is less than 2 and f of x equals 3 minus x when x is greater than or equal to 2

Would it be the limit Does Not Exist?

Answer 1

@freckles

Answer 2

have you plug in 2 into both sides...
lets see left side of x=2 we have the function x+3
and the right side of x=2 we have the function 3-x
I believe
just enter in 2 into both sides
2+3=5
3-2=1
5 is not 1
since 5 is not 1 then the actual limit doesn't exist
so you are right

Answer 3

for the limit to have exist 5 would have to be 1

Answer 4

but as you know that is impossible