Sign up for our free STEM online summer camps starting June 1st!View Summer Courses

University of Southern California

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

Need more help? Fill out this quick form to get professional live tutoring.

Get live tutoring
Problem 9

Estimating a Limit Numerically In Exercises $5-10$ , complete the table and use the result to

estimate the limit. Use a graphing utility to graph the function to confirm your result.

$$\lim _{x \rightarrow 0} \frac{\sin x}{x}$$

Answer

$$\lim _{x \rightarrow 0}\left[\frac{\sin x}{x}\right] \approx 1$$

You must be logged in to like a video.

You must be logged in to bookmark a video.

## Discussion

## Video Transcript

Okay, So when we have exited with a negative points, Woz, our function sign of native 0.1. Okay, You know what one gives us approximately 2.998 when x is equal to negative points There. All one sign of 0.1 Overnegative went. So what is approximately no 0.999 What X is equal? Negative points. So one sign of negative point goes over one over. Native 0.1 is approximately one at exit because our function is on the line because we're writing by when x is equal to 0.1 sign of 0.1 over point goes there once is approximately one when X is equal Point girl, one sign of 0.1 over 0.1 is approximately 0.999 And lastly, when X is equal to 0.1 sign of 0.1 over 0.1 is a possibly 0.99 So we could see that from our values as X approaches zero from the left and when X approaches No, from the right, we see that both of our values are approaching one. So we can say that our limit as expert, you know, a sign of X over X is equal to one

## Recommended Questions