L ectur e1 5| 1
IF A limit
where
is called indeterminate form type
L ectur e1 5| 2
For IF , we will use
which is IF 0/0, or
which is IF . Then apply L’H.
IMPORTANT
L ectur e1 5| 3 EX Evaluate
L ectur e1 5| 4 EX (Prelim. alg) Evaluate
L ectur e1 5| 5 EX Calculate
L ectur e1 5| 6
IF A limit
where
is called indeterminate form .
L ectur e1 5| 7
IF , we use algebra to express
which is IF 0/0 or / . A common denominator Rationalization
Combine log functions
IMPORTANT
L ectur e1 5| 8 EX (Common denom.) Compute
L ectur e1 5| 9 EX (Common denom.) Evaluate
L ectur e1 5| 10 EX (Combine log functions) Evaluate
L ectur e1 5| 11 IF
A limit
where
1. , is called IF
2. , is called IF
3. , is called IF .
L ectur e1 5| 12 We will use
and note that
L ectur e1 5| 13 EX Find
L ectur e1 5| 14 EX Calculate
L ectur e1 5| 15 EX Calculate
