GC

- 00:00
- Methods of Finding Limits
- 00:02
- By Garnet Cuello
- 00:05
- While there are many more methods and exceptions to finding different limits, this video will only be focusing on 6 simple methods.
- 00:15
- methods are:
- 00:15
- The
- 00:16
- 1. Substitution
- 00:16
- 2. Factorization
- 00:17
- 3. Common Denominator
- 00:18
- 4. Expansion
- 00:19
- 5. Rationalization
- 00:19
- 6. L'Hopital's Rule
- 00:26
- Substitution
- 00:26
- Easy-peasy!
- 00:28
- All you have to do is plug in the value that x is approaching.
- 00:29
- This is the first step to solving every limit problem in order to check if it is indeterminate.
- 00:37
- Factorization
- 00:37
- Another easy one!
- 00:39
- Factor both the numerator and the denominator.
- 00:40
- Cancel out the common factor then solve!
- 00:54
- Common Denominator
- 00:55
- Problems that have complex fractions most likely require finding the common denominator.
- 00:56
- Find the common denominator, simplify, then solve!
- 01:10
- Expanding Parentheses
- 01:10
- Time to shine with your FOIL skills!
- 01:12
- Expand the parentheses, then solve the limit.
- 01:25
- Rationalization
- 01:25
- You can easily recognize these problems by the radical in the expressions.
- 01:27
- Multiply both the numerator and the denominator by the conjugate.
- 01:29
- Simplify then solve!
- 01:43
- L'Hopital's Rule
- 01:43
- If the expression is indeterminate, you can use this easy shortcut!
- 01:44
- Take as much derivatives as necessary of both the numerator and the denominator.
- 01:46
- Solve!
- 01:55
- And we're done!
- 01:57
- Here's what you learned: Substitution Factorization Common Denominator Expansion of Parentheses Rationalization L'Hopital's Rule