limits

• Sep 3rd 2008, 09:25 AM
leftyguitarjoe
limits
When I have a function written out, I can whip out a limit in no time, but when I have this, I'm lost. its just a piecewise looking thing.

For the function f whose graph is given, state the value of the given quantity, if it exists.

http://www.webassign.net/scalc/2-2-4.gif

http://www.webassign.net/www31/symIm...5d994044e5.gif

http://www.webassign.net/www31/symIm...3573b20bf5.gif

http://www.webassign.net/www31/symIm...026ab60444.gif

http://www.webassign.net/www31/symIm...28af622cdd.gif = does not exist (hey, I got one!!)

(e) f(3)
• Sep 3rd 2008, 09:35 AM
Moo
Hello,
Quote:

Originally Posted by leftyguitarjoe
When I have a function written out, I can whip out a limit in no time, but when I have this, I'm lost. its just a piecewise looking thing.

For the function f whose graph is given, state the value of the given quantity, if it exists.

http://www.webassign.net/scalc/2-2-4.gif

http://www.webassign.net/www31/symIm...5d994044e5.gif

You can do this one !
It's the value of f(x) when x tends to 0. You just have to read the graph.

$3^+$ means that you have to consider $x \to 3$, and $x>3$, that is to say the limit of f(x) if x comes from the right towards 3.
$3^-$ is the same, but with $x<3$, from the left.

Quote:

http://www.webassign.net/www31/symIm...28af622cdd.gif = does not exist (hey, I got one!!)
Yup, because limits from the right and from the left are different.

Quote:

(e) f(3)
f(3) is on the graph, it's the red dot.

The empty dot means that it's not a point of the function.
• Sep 3rd 2008, 09:37 AM
Chop Suey
Look at the graph. As x approaches 0 from both sides, what value of y is the graph approaching?

If you've done d, then how come you can't do b and c? Simply look at the graph and write down the y-value as x approaches 3 from the positive side (right side) and from the negative side (left side).

f(3) has an image. It is usually denoted by a filled dot. What is the y-value (image)?
• Sep 3rd 2008, 09:43 AM
leftyguitarjoe
ok,

http://www.webassign.net/www21/symIm...5d994044e5.gif = 3

I got that one.(Clapping)
• Sep 3rd 2008, 09:44 AM
leftyguitarjoe
Got another one.

f(3) = 3

I getting this down now.
• Sep 3rd 2008, 09:45 AM
leftyguitarjoe
And now I have them all(Cool)

thanks guys!!!(Rock)