Question

Limits,

Can you help me solve this?
http://screencast.com/t/Q45dG1mKKlXT

Do I need derivatives for this or is there a simpler way?

Answer 1

@AravindG @ganeshie8 @Hero @jim_thompson5910 @RolyPoly

Answer 2

i think u should just try by plugging in the values.

Answer 3

With this type you check to see if the right and left limits match up.

Answer 4

Say we look at the first one. As you come in from below 0, it uses t-2. So it is getting close to -2. Then you come in from the right of 0, it uses \(t^2\) so it is getting close to 0. They do not match, so DNE.

Answer 5

You follow the same basic process for the other points and you will have the entire answer.

Answer 6

For (b), just plug x = 1 into the middle equation, since it's valid from x= 0 to 2. You can check left and right limits by using something like 1.1 and 0.9, but it's a parabola, you know the limit is the same on both sides.

For (c), do as @e.mccormick said and check limits on both left and right.