Limits - Substitution Method

Uploaded by TheIntegralCALC on 03.09.2010

Hi, everyone. Welcome back to We're going to be doing a limit problem today.
This one is the limit as x approaches 3 of x^3 - 4x^2 + 2x + 5.
This is the most basic of all limit problems because all we have to do is simply plug in
3 to our function to get the answer. If you can't simply plug in the number, you're going
to need to try some different things, but in this case, all you have to do is plug in
3. That's always the method that you should try first when doing a limit problem. Try
plugging in your number to your function. If you can't do it then we'll try some other
things but always try plugging in first. Let's go ahead and do that. So when we simplify,
we get 27 - 36 + 6 + 5 which is then equal to 2.
So the limit as x approaches 3 of x^3 - 4x^2 + 2x + 5 is equal to 2. Simple as that.
Thanks, guys. See you next time.