SOLUTION: 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 →
Algebra.Com
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) (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 \ =\ L)
in order for )
to exist.
John
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
f(x)={x+2 if x<-2
f(x)={2 if x>-2
Find the following limits, if they exist.
1.... (answered by Edwin McCravy)
A1
{{{f(x)= system( (x^2-1)/(x^2+x-2), if x< 1,
3, if x =1,
e^1-x, if... (answered by Aldorozos,MathTherapy)
Find f(x) given that
f'(x) = x^3 − 2√x, f(1) =... (answered by KMST)
Given f(x) = 3x − 1,find the following.
f(9)=
f(-1)=
f(0)=
f(2/3)=
f(k)=... (answered by solver91311)
Given f(x) = 3x − 1,find the following.
f(9)
f(-1)
f(0)
f(2/3)
f(k)... (answered by MathLover1,solver91311)
A1
{{{f(x)= system( ((x^2-1)/(x^2+x-2)),
3,
e^1-x,
2x-c
(answered by ikleyn)
x 0 1 2 3
f(x) 1 2 5 10
The table above... (answered by ewatrrr)
If f(x) = 4x2 − x + 2,
find the following:
f(a + 1) =
[f(a)]2 =
f(a +... (answered by Alan3354)
Please help me with this problem
If f(x) = 3^x, then f(x+1) - f(x) = ?
f(x) = 3^x... (answered by rothauserc)