PM5006 Week 7

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Aquí están las transparencias de la semana 7 de mi curso de Cálculo diferencial. Algunas transparencias las tomé de Dan Meyer y Dan Greene.

Education

Day 31 1. Limits - Exercises
True or False:

! f (3) = 7

DNE ! f (3) Undefined

Day 31 1. Limits - Exercises
True or False:

! f (3) = 7
False
DNE ! f (3) Undefined

Day 31 1. Limits - Exercises
True or False:

! f (3) = 7
False False
DNE ! f (3) Undefined

Day 31 1. Limits - Exercises
True or False:

! f (3) = 7
False False False
DNE ! f (3) Undefined

Day 31 1. Limits - Exercises
True or False:

! f (3) = 7
False False False
DNE ! f (3) Undefined
True

Day 31 1. Limits - Exercises
True or False:

! f (3) = 7
False False False
DNE ! f (3) Undefined
True False

Day 31 1. Limits - Exercises
True or False:

! f (3) = 7
False False False
DNE ! f (3) Undefined
True False True

1. Limits - Exercises
True or False:

! f (0) = 5

DNE f (3) Undefined

1. Limits - Exercises
True or False:

! f (0) = 5
False
DNE f (3) Undefined

1. Limits - Exercises
True or False:

! f (0) = 5
False False
DNE f (3) Undefined

1. Limits - Exercises
True or False:

! f (0) = 5
False False True
DNE f (3) Undefined

1. Limits - Exercises
True or False:

! f (0) = 5
False False True
DNE f (3) Undefined
True

1. Limits - Exercises
True or False:

! f (0) = 5
False False True
DNE f (3) Undefined
True True

1. Limits - Exercises
True or False:

! f (0) = 5
False False True
DNE f (3) Undefined
True True False

2. Notes
Find the following limit
2
lim 2x − 3x − 4
x→−1

3. Exercises
Find the following limits

1. lim x
1
x→− 3

2. lim π
x→−1

3x + 7
3. lim
x→4 x + 1

x + 15
4. lim
x→4 3
5− x
5. lim
x→−6 2

3. Exercises
Find the following limits

1. lim x
1
x→− 3
-1/3

2. lim π
x→−1

3x + 7
3. lim
x→4 x + 1

x + 15
4. lim
x→4 3
5− x
5. lim
x→−6 2

3. Exercises
Find the following limits

1. lim x
1
x→− 3
-1/3

2. lim π
x→−1

3x + 7
3. lim 19/5
x→4 x + 1

x + 15
4. lim
x→4 3
5− x
5. lim
x→−6 2

3. Exercises
Find the following limits

1. lim x
1
x→− 3
-1/3

2. lim π
x→−1
π
3x + 7
3. lim 19/5
x→4 x + 1

x + 15
4. lim
x→4 3
5− x
5. lim
x→−6 2

3. Exercises
Find the following limits

1. lim x
1
x→− 3
-1/3

2. lim π
x→−1
π
3x + 7
3. lim 19/5
x→4 x + 1

x + 15 19
4. lim
x→4 3 3
5− x
5. lim
x→−6 2

3. Exercises
Find the following limits

1. lim x
1
x→− 3
-1/3

2. lim π
x→−1
π
3x + 7
3. lim 19/5
x→4 x + 1

x + 15 19
4. lim
x→4 3 3
5− x 11
5. lim
x→−6 2 2

Day 32
1. Limits
Find the following limit

2
x −1
lim
x→1 x − 1

1. Limits
Find the following limits

2
x − 5x − 6
1. lim
x→6 x−6
3
x −1
2. lim
x→1 x − 1

1. Limits
Find the following limit

x +1
lim
x→−1 3 − x + 10

2. Limits - Exercises
Find the following limits:

3h
1. lim
h→0 h

x−3
2. lim 2
x→3 x − 9
2
x + 7x
3. lim
x→0 x
x +1
4. lim
x→−1 3 − x + 10
2 2
5. lim
( x + h) −x
h→0 h

Day 33
1. Limits
Find the following limit

2
x −1
lim
x→1 x − 1

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PM5006 Week 7

1. Day 31 1. Limits - Exercises True or False: ! f (3) = 7 DNE ! f (3) Undefined

2. Day 31 1. Limits - Exercises True or False: ! f (3) = 7 False DNE ! f (3) Undefined

3. Day 31 1. Limits - Exercises True or False: ! f (3) = 7 False False DNE ! f (3) Undefined

4. Day 31 1. Limits - Exercises True or False: ! f (3) = 7 False False False DNE ! f (3) Undefined

5. Day 31 1. Limits - Exercises True or False: ! f (3) = 7 False False False DNE ! f (3) Undefined True

6. Day 31 1. Limits - Exercises True or False: ! f (3) = 7 False False False DNE ! f (3) Undefined True False

7. Day 31 1. Limits - Exercises True or False: ! f (3) = 7 False False False DNE ! f (3) Undefined True False True

8. 1. Limits - Exercises True or False: ! f (0) = 5 DNE f (3) Undefined

9. 1. Limits - Exercises True or False: ! f (0) = 5 False DNE f (3) Undefined

10. 1. Limits - Exercises True or False: ! f (0) = 5 False False DNE f (3) Undefined

11. 1. Limits - Exercises True or False: ! f (0) = 5 False False True DNE f (3) Undefined

12. 1. Limits - Exercises True or False: ! f (0) = 5 False False True DNE f (3) Undefined True

13. 1. Limits - Exercises True or False: ! f (0) = 5 False False True DNE f (3) Undefined True True

14. 1. Limits - Exercises True or False: ! f (0) = 5 False False True DNE f (3) Undefined True True False

15. 2. Notes Find the following limit 2 lim 2x − 3x − 4 x→−1

16. 2. Notes Find the following limit 2 lim 2x − 3x − 4 x→−1

17. 3. Exercises Find the following limits 1. lim x 1 x→− 3 2. lim π x→−1 3x + 7 3. lim x→4 x + 1 x + 15 4. lim x→4 3 5− x 5. lim x→−6 2

18. 3. Exercises Find the following limits 1. lim x 1 x→− 3 -1/3 2. lim π x→−1 3x + 7 3. lim x→4 x + 1 x + 15 4. lim x→4 3 5− x 5. lim x→−6 2

19. 3. Exercises Find the following limits 1. lim x 1 x→− 3 -1/3 2. lim π x→−1 3x + 7 3. lim 19/5 x→4 x + 1 x + 15 4. lim x→4 3 5− x 5. lim x→−6 2

20. 3. Exercises Find the following limits 1. lim x 1 x→− 3 -1/3 2. lim π x→−1 π 3x + 7 3. lim 19/5 x→4 x + 1 x + 15 4. lim x→4 3 5− x 5. lim x→−6 2

21. 3. Exercises Find the following limits 1. lim x 1 x→− 3 -1/3 2. lim π x→−1 π 3x + 7 3. lim 19/5 x→4 x + 1 x + 15 19 4. lim x→4 3 3 5− x 5. lim x→−6 2

22. 3. Exercises Find the following limits 1. lim x 1 x→− 3 -1/3 2. lim π x→−1 π 3x + 7 3. lim 19/5 x→4 x + 1 x + 15 19 4. lim x→4 3 3 5− x 11 5. lim x→−6 2 2

23. Day 32 1. Limits Find the following limit 2 x −1 lim x→1 x − 1

24. Day 32 1. Limits Find the following limit 2 x −1 lim x→1 x − 1

25. 1. Limits Find the following limits 2 x − 5x − 6 1. lim x→6 x−6 3 x −1 2. lim x→1 x − 1

26. 1. Limits Find the following limit x +1 lim x→−1 3 − x + 10

27. 2. Limits - Exercises Find the following limits: 3h 1. lim h→0 h x−3 2. lim 2 x→3 x − 9 2 x + 7x 3. lim x→0 x x +1 4. lim x→−1 3 − x + 10 2 2 5. lim ( x + h) −x h→0 h

28. Day 33 1. Limits Find the following limit 2 x −1 lim x→1 x − 1

29. Day 33 1. Limits Find the following limit 2 x −1 lim x→1 x − 1

PM5006 Week 7

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PM5006 Week 7

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