Problem

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

01:26

Problem 43 Medium Difficulty

Find the limit.
$ \displaystyle \lim_{x \to 0} \frac {\sin 3x}{5x^3 - 4x} $

Name: find the limit displaystyle lim_x to 0 frac sin 3x5x3 4x
Uploaded: 2019-12-15
Duration: 2 min 18 s
Channel: Numerade
Description: Find the limit. $ \displaystyle \lim_{x \to 0} \frac {\sin 3x}{5x^3 - 4x} $

Answer

$-\frac{3}{4}$

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Video Transcript

It's Claressa when you Marie here so we could limit has X approaches. Zero Signed three nuts over five excuse minus four. This becomes equal to the limit. That's X approaches. Cereal for sign of three X over warns the limit That's That's a purchase. Ciro were won over five X squared minus four. Then we're going to multiply. Get government this X approaches Cyril three x times Sign three x over three x all over X Aren't the limit? Does X approaches zero for one over five X Square minus four. This equals the limit as X approaches Cyril three X over X. I'm still limit as ex A purchase serum through one over five X Square minus four. You see that this becomes three times the limit. That's that's approaches zero won over five X Square minus three. This is equal to three comes the women as that's a purchase girl. We won over zero minus four, which is equal to three times negative. One pork. She has this negative three. Once

Clarissa N.

Topics

Derivatives

Differentiation

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 3

Derivatives of Trigonometric Functions

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