It can be shown that 1 - x 2 /2 cos x 1, for x

Question:

It can be shown that 1 - x²/2 ≤ cos x ≤ 1, for x near 0.

a. Illustrate these inequalities with a graph.

b. Use these inequalities to evaluate lim_x→0 cos x.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

See More Books

Question Posted: Feb 06, 2019 01:20 PM

See More Questions

We have described the beta distribution for a population proportion as an example of a conjugate prior when the likelihood function, p(x | ), is binomial. Under certain conditions, the normal...
Alluring Tackle, Inc.. a manufacturer of fishing equipment, makes the Bass Grabber, a type of fishing lure. The company would like to develop a prediction model that can be used to obtain point...
It can be shown that the sum of the first n positive numbers is: Use the preceding formula to evaluate a. b. c. (n 1) 100 3k
There are several problems that are unique to family businesses or ventures. Which of the following is not one of those problems? Issues of succession Problems of control, fairness, and equity Issues...
Byrd Company produces one product, a putter called GO-Putter. Byrd uses a standard cost system and determines that it should take one hour of direct labor to produce one GO-Putter. The normal...
Lets take a look at one aspect of the U.S. tax system over the past 100 years. Using the FRED economic database ( https://fred.stlouisfed.org/ ), look for U.S Individual Income Tax: Tax Rates for...
Figure P2.57 shows the velocity-versus-time graphs for objects $\mathrm{A}$ and $\mathrm{B}$ moving along an $x$ axis. Which object has the greater displacement over the time interval shown in...
When Crossett Corporation was organized in January 2016, it immediately issued 4,000 shares of $50 par, 6 percent, cumulative preferred stock and 50,000 shares of $20 par common stock. Its earnings...
A group of accountants in an organization share related tasks, but do not collaborate with each other or share information as part of their work. Their status is determined by organizational...
While snoozing at the controls of his Pepper Six airplane, Dunse P. Sluggard leaned heavily against the door; suddenly, the door flew open and a startled Dunse tumbled out. As he parachuted to the...
a. Show that - |x| x sin 1/x |x|, for x 0. b. Illustrate the inequalities in part (a) with a graph. c. Use the Squeeze Theorem to show that lim x0 x sin 1/x = 0.
It can be shown that 1 - x 2 /6 sin x/x 1, for x near 0. a. Illustrate these inequalities with a graph. b. Use these inequalities to evaluate lim x0 sin x/x.
David was given a chargeable asset in November 2015 at which time the asset had a market value of 7,500. He sold the asset in January 2022. Compute the chargeable gain or the allowable loss if his...
If I am creating a 5-digit number combination, how many combinations will be created if the first digit is an odd number and the last digit are either 0,7 or 9 or the 3 middle digits are all prime...
Calculate the effective yield of a monthly-payment FRM of $500,000, 3.5%, 30 years with a 2 up-front discount points, assuming the loan is paid off at the end of the fifth year?
Translate the following symbolic statements in words. 1)p ~q 2)s~r 3)q ~s Translate the following verbal statements into symbols. 4)Ground moves affect Flying-type Pokmonif some Pokmondo not have a...
A company's product requires 3 ponds of direct materials at $21.60 per pund and 2 direct labor hours at $48.60 per hour. The company uses an overhead rate of $41.80 per direct labor hour to assign...
Why is medical record documentation an important part of the provider's ability to provide quality care? Explain.
1. Suppose that a lender gives you a choice between the following two 25-year mortgages of $175,000: Mortgage A: 6.3% interest compounded monthly, with three points, monthly payment of $1159.84...
Assume a simple Keynesian depression economy with a multiplier of 4 and an initial equilibrium income of $3,000. Saving and investment equal $400, and assume full employment income is $4,000. a. What...
Express the function in the form f g. u(t) = tan t/1 + tan t
Sketch the graph of the function. g(t) = |1 3t|
Express the function in the form f g. v(t) = sec(t 2 ) tan(t 2 )
The uniform meterstick has an object with mass 800 grams hanging at the 15cm mark and an object with mass 350 grams at the 70cm mark. It balances horizontally on a pivot placed at the 35cm mark. What...
Compared to Windows environments, is UNIX system friendlier for digital investigation? Discuss this question from the following aspects: UNIX as the platform for forensic investigation and UNIX as...
13) Imagine that in your monthly entertainment budget, you have $156 to spend on movies and books, which cost $8 and $20 respectively. Use the data in the table below to decide what combination of...

It can be shown that 1 - x 2 /2 cos x 1, for x

Question:

Step by Step Answer:

a b Note that So because ...View the full answer

Calculus Early Transcendentals

Students also viewed these Mathematics questions