University of California, Berkeley

Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32
Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
Problem 38
Problem 39
Problem 40
Problem 41
Problem 42
Problem 43
Problem 44
Problem 45
Problem 46
Problem 47
Problem 48
Problem 49
Problem 50
Problem 51
Problem 52
Problem 53
Problem 54
Problem 55
Problem 56
Problem 57
Problem 58
Problem 59
Problem 60
Problem 61
Problem 62
Problem 63
Problem 64
Problem 65
Problem 66
Problem 67
Problem 68
Problem 69
Problem 70
Problem 71
Problem 72
Problem 73
Problem 74
Problem 75
Problem 76
Problem 77
Problem 78
Problem 79
Problem 80
Problem 81
Problem 82
Problem 83
Problem 84
Problem 85
Problem 86

Problem 83

Proof Prove that

$$\lim _{x \rightarrow c} f(x)=L$$

is equivalent to

$$\lim _{x \rightarrow c}[f(x)-L]=0$$

Answer

$$\lim _{x \rightarrow c}[f(x)-L]=0$$

You must be logged in to like a video.

You must be logged in to bookmark a video.

## Discussion

## Video Transcript

Okay, so we have the limit as experts see from our function. So it's the truck out from both sides that I put you down and then we need to apply our limits. We have the limit. Is that so? To speak over function minus the limit. Next to see about you could get a limit as a clipper to see, actually that Oh, and there are constant sort of limited them is just a constant. You were left with the limit. Exactly. Take with you. Oh, if we could sell, Which means that limit, as expected, okay of our absolute value might sound is also equal to go.

## Recommended Questions