Question

Find the indicated limit, if it exists.

Answer 1

Answer: The limit does not exist.

Step-by-step 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:

`\lim_(x \to -1) x+1 \\ -1 + 1 = 0`

Right hand limit:

`\lim_(x \to -1) 1-x \\ 1-(-1) = 1+1 = 2`

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.