### Quick Notes for Math 140 @ SIUC

There are 2 different questions on Limits one is Figure based and other is finding the limits using algebraic manipulation

Figure based limit

You need to know what you mean by left hand and right hand limits. Also you need to understand that a limit exists only if left hand limit = right hand limit. Whereas one sided limits can have value ranging from constant to positive or negative infinity.

If at the point you have to find the limit the graph is not continuous the limit doesn't exist.

For algebraic limit there could be five types of question.

Rationalizing

Derivative questions are easy to answer if you remember the product rule and quotient rule

2nd Derivative questions using boil down to product rule and quotient rules

By parts question remember the formula

Remember (LAE) The precedence

For maxima-minima question it is important that you come up with two equations

For graphing question make sure you know

how the sign change from + to - and - to + affect the equation