L

1
LHopitals rule

• A new way to take limits

2

• If f and g are continuous at a but
• then the limit will be
  the indeterminant form. LHopitals rule says
  that if you get indeterminant form, you can take
  the derivative of the top and bottom (NOT a
  quotient rule) and then reevaluate the limit.
  That is,

3
LHopitals Rule

• If and f(a) and
  g(a) exist
• (with g(a)?0) then
• (stronger form says if you get indeterminant form
  again, go ahead and take a derivative again)

4
Proof Start at the end
Remember
5
This makes limits very easy!

• Find the following

6

• Find the following