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?

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?

anonymous · Answer

@freckles

freckles · Answer

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

freckles · Answer

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

freckles · Answer

but as you know that is impossible