Answer: The limit does not exist.
Explanation:
To find whether the limit exists or not, the left hand limit (x<-1) should be equal to the right hand limit (x > or = -1)
Left hand limit:
[tex] \lim_{x \to -1} x+1 \\
-1 + 1 = 0[/tex]
Right hand limit:
[tex]\lim_{x \to -1} 1-x \\ 1-(-1) = 1+1 = 2[/tex]
After applying Left hand limit we get 0
After applying Right hand limit we get 2
Both are not equal. Hence the limit does not exist.
