12.1 intro to limits

The last unit to go before the finals!!!!

Today we talked about limits in class.

Define Limit:

If f(x) becomes close to a unique number L as x approaches c from either side, the limit of f(x) approaches c is L

But what are the conditions when the limit doesn't exist?

1) f(x) approaches a different number from either side

2) f(x) increases or decreases without bound 

3) f(x) oscillates between 2 values (hint: sin graph)

Now here are the properties:

Lim b= b 

X->c

Lim x= c

X->c

Lim x^n = c^n

X->c

Lim x^n/2 = c^n/2

X->c

Ex

Lim 3 = 3

X-> 2

Lim x^2-5= 95

X->10