Introduction to Limits-12.1

Notation for Limits

lim f(x)=L
xa


As x gets arbitrarily close to a, y gets arbitrarily close to L


Example
f(x)= 2x-3
lim f(x) = 1
x 2


There are three cases when a limit does not exist:
1) When the right hand and the left hand do not approach the same number
2)When there is an asymptote 
3) * when the graph is oscillating between 2 numbers very quickly
  * this case is very rare