Undefined limits by direct substitution | Limits and continuity | AP Calculus AB | Khan Academy

preview_player
Показать описание

Sal gives an example of a limit where direct substitution ends in a quotient with 0 in the denominator and non-0 in the numerator. Such limits are undefined. What about limits where substitution ends in 0/0? Keep going and you'll see!

AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago.

For free. For everyone. Forever. #YouCanLearnAnything

  1. Khan Academy
  2. education
  3. online learning
  4. learning
  5. lessons
Рекомендации по теме
Undefined limits by 0:02:13

Undefined limits by direct substitution | Limits and continuity | AP Calculus AB | Khan Academy

Limit of a 0:05:19

Limit of a Function | When direct substitution gives an undefined expression

Limits by direct 0:02:06

Limits by direct substitution | Limits and continuity | AP Calculus AB | Khan Academy

Undefined limits by 0:02:23

Undefined limits by direct substitution

Evaluating Limits By 0:11:35

Evaluating Limits By Factoring

Math Differential Calculus 0:02:14

Math Differential Calculus - Undefined limits by direct substitution

Calculus: Limits : 0:03:58

Calculus: Limits : Finding limit by direct substitution

Finding Limits with 0:07:36

Finding Limits with Direct Substitution

UNDEFINED LIMIT FUNCTION 0:01:32

UNDEFINED LIMIT FUNCTION THAT DOES NOT EXIST IN PRECALCULUS

Evaluating limits using 0:10:31

Evaluating limits using direct substitution

How to Find 0:05:13

How to Find Limits with Direct Substitution in CALCULUS - Plug in and see!

How to Find 0:02:10

How to Find Limits by Direct Substitution?

Undefined Limit for 0:05:06

Undefined Limit for Rational Function

Strategies to Solve 0:04:50

Strategies to Solve Limits - Direct Substitution

Learn how to 0:01:38

Learn how to evaluate the limit using direct substitution

Calculus 1 - 0:20:20

Calculus 1 - Introduction to Limits

How to use 0:01:37

How to use direct substitution to evaluate the limit

Undefined Limits - 0:15:53

Undefined Limits - 1

Test 1 Limits 0:04:31

Test 1 Limits by Direct Substitution Calculus Lesson 1

Limit Properties - 0:01:37

Limit Properties - Direct Substitution (example problem)

Undefined limits by 0:01:33

Undefined limits by direct substitution | Functions | Post Sec Math | KA Urdu

Solving Indeterminate and 0:15:55

Solving Indeterminate and Undefined Limits Using Algebraic Simplification| Calculus

Evaluate the limit 0:01:40

Evaluate the limit of a rational expression by applying direct substitution

Find the general 0:00:24

Find the general limit using direct substitution of rational expression

Комментарии
Автор

Thanks Khan for his great effort, but have to point out the logic fallacy here, if the expression is 1/0 after we plug in the number, we can not say the limit doesnot exsit, a counterexample will be 1/x2, whose limit is positive infinity, the correct way of this question is acutally to go back to the definition and plug 0.999 and 1.001 into the expression to see if the left side equals the right side or not.

zhus
Автор

hmmmm. is this approach legit since denominator can't be zero, direct substitution make sense ?

timeless-sg