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Question 198144: Consider the following split domain function
f(x)=
{5x-4, x<1
{2x+2, x>=1
find the following limits
lim f(x =
x->1+
lim f(x) =
x->1-
lim f(x) =
x->1
I keep getting the wrong answer can someone please help
thanks
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! f(x)=
{5x-4, x<1
{2x+2, x>=1
find the following limits
lim f(x) =
x->1+
--
Comment: The x is approaching 1 from the right side (above) so
you use 2x+2 to evaluate the "limit as x approaches 1+ and
you get 2*1+2 = 4
------------------------------------------------
lim f(x) =
x->1-
--
Comment: the x is approaching 1 from the left side (below) so
you use 5x-4 to evaluate the "limit as x approaches 1- and get
5*1-4 = 1
---------------------------------------------------
lim f(x) =
x->1
Comment: Since the limit from the left does not equal
the limit from above "the limit as x approaches 1" does
not exist.
============================================================
Cheers,
Stan H.
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