SOLUTION: Consider f(x) = {x^2&#8722;1, x < 1 f(x) = {0, 1 < x &#8804; 3 f(x) = {&#8722;x+1, x > 3 Find the following limits, if they exist. Or are undefined lim x &#8594;

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Consider f(x) = {x^2&#8722;1, x < 1 f(x) = {0, 1 < x &#8804; 3 f(x) = {&#8722;x+1, x > 3 Find the following limits, if they exist. Or are undefined lim x &#8594;       Log On


   

Question 987300: Consider
f(x) = {x^2−1, x < 1
f(x) = {0, 1 < x ≤ 3
f(x) = {−x+1, x > 3

Find the following limits, if they exist. Or are undefined
lim x → 0 f(x) =
lim x → 1 f(x) =
lim x → 3 f(x) =
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Evaluate and . If they both exist and are equal, then exists and is equal to and

If either the right hand limit or the left hand limit do not exist, or if they are not equal then the limit does not exist.

Remember, it is not necessary for to be defined, nor is it necessary for in order for to exist.


John

My calculator said it, I believe it, that settles it