Thread: Limits

Hey guys so I have no idea how to solve limits while looking at a graph, here is the image...


lim
t→ 0⁻
g(t)


lim
t→ 0⁺
g(t)



lim
t→ 0
g(t)

lim
t→ 2⁻
g(t)

lim
t→ 2⁺
g(t)


lim
t→ 2
g(t)




g(2)



lim
t→ 4
g(t)

Originally Posted by Oldspice1212

lim
t→ 0⁻
g(t)


lim
t→ 0⁺
g(t)



lim
t→ 0
g(t)

lim
t→ 2⁻
g(t)

lim
t→ 2⁺
g(t)


lim
t→ 2
g(t)




g(2)



lim
t→ 4
g(t)

The answer to the first is .

The answer to the second is .

You figure out why. Then do the others and report the answers you get.
We will be glad to help you then.

So for the third one it would be 2 since from the right it goes towards 2 and from left closest is to the 2?

fourth -2?
fifth 1
sixth 2
7th no idea
8th - 3?

Hello, Oldspice1212!

Here's part of the solution . . .

I have no idea how to solve limits while looking at a graph.
Do you understand "from the left" and "from the right"?
You just trace it with your finger.

Code:

          |
         4+                  *
          |                 *
         3+               ♥
     *    |             *
         2+       o    *
          |      *    *
      *  1+     * ♥  *
          |    *    *
    - -*- + - * - o - + - + - -
        * |  *1   2   3   4
        -1♥ *
          |*-
        -2o
          |

As approahes 0 from the left, approaches
Hence: .



As approaches 0 from the right, approaches
Hence: .



Does not exist.



As approaches 2 from the left, approaches
Hence: .



As approaches 2 from the right, approaches 0.
Hence: .



Does not exist.

Oh wow thank you so much!! The explanations on approaching helped a ton.

Quick question for lim g(t)
t - 4

would this = 0 or DNE?