lim x → 0 sin3x)/5x^3 -4

Question

01-02-2017
Mathematics

contestada

lim x → 0 sin3x)/5x^3 -4

Respuesta :

Otras preguntas

Which set of numbers can represent the side lengths, in inches, of an acute triangle? 4, 5, 7 5, 7, 8, 6, 7, 10 7, 9, 12

Which best explains whether a triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle? The triangle is acute because 2^2 + 5^2 > 4^2. The t

There's an optimization problem for my AP Calculus class that I am stuck on: You just adopted an iguana and are trying to build a pen with a rectangular bottom

A swing set needs repair. The support bar that is at the middle of the A-frame is failing and must be replaced. An image of a swing set is shown with triangle S

brittney griner was released from russian custody earlier this month. which pro sports league does she play in?

Determine the BEST name for quadrilateral DEFG with vertices D(3, 1), E(1, 5), F(9, 9), and G(11, 5).

(a) antawn, the team's starting quarterback, has a head circumference of 22.4 inches. what is antawn's percentile? (b) find the head circumference of the player

Calculate the area of a circle of radius 7cm. One sector of this circle has an area of 49.5cm^2 What is the angle at the centre of this?

in connectionless demultiplexing, when creating datagram to send into udp socket, must specify which of the following(s):

jdoe0001 jdoe0001 · Answer 1 · 2017-02-01T22:28:32+01:00

[tex]\bf \lim\limits_{x\to 0}\ \cfrac{sin^3(x)}{5x^3}-4 \\ \quad \\\\ \cfrac{sin^3(x)}{5x^3}-4\implies \cfrac{[sin(x)]^3}{5x^3}-4 \\ \quad \\ \cfrac{[sin(x)]^3}{x^3}\cdot \cfrac{1}{5}-4 \\ \quad \\ thus \\ \quad \\ \lim\limits_{x\to 0}\cfrac{[sin(x)]^3}{x^3}\cdot \lim\limits_{x\to 0}\cfrac{1}{5}-4\qquad \boxed{recall \qquad \lim\limits_{x\to 0} \cfrac{sin(x)}{x}\implies 1} \\ \quad \\ 1\cdot \cfrac{1}{5}-4[/tex]