Problem

Find the limit. $ \displaystyle \lim_{x \to 0} \…

01:03

Problem 39 Medium Difficulty

Find the limit.
$ \displaystyle \lim_{x\to 0} \frac {\sin - 5x}{3x} $

Answer

$\frac{5}{3}$

More Answers

00:27

Frank L.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 3

Derivatives of Trigonometric Functions

Discussion

You must be signed in to discuss.

Top Calculus 1 / AB Educators

Catherine R.

Missouri State University

Caleb E.

Baylor University

Samuel H.

University of Nottingham

Joseph L.

Boston College

Watch More Solved Questions in Chapter 3

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

Video Transcript

it's clear. So when you married here. So we're gonna find the limit. As X goes to therapy, we're sign five X over three eggs. So our goal here is charging me five x in the denominator. So we're going to multiply 5/3 times 3/5. This becomes 5/3 limit. Thanks. Approaches. Ciro three sign five X over five times three x and then we could simplify this into five birds limit. So that's approaches. Ciro. Their sign five Lex over five x and we're going to use you. Gonna substitute five x by you, which is equal to 5/3 limit as you approach is Ciro for a sign you over you. So we see that the limit X approaches syrup of sine X over X is equal to one, so it's 5/3 times one is equal to 5/3.

Clarissa N.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 3

Derivatives of Trigonometric Functions

Top Calculus 1 / AB Educators

Catherine R.

Missouri State University

Caleb E.

Baylor University

Samuel H.

University of Nottingham

Joseph L.

Boston College