Question: The inequality 1 - x 2 2 s i n x x 1 holds when x is measured in radians and | x | 1

The inequality 1-x22sinxx1 holds when x is measured in radians and |x|1. Find limx0sinxx, if it exists.
[A] does not exist
[B]0
[C]0.0007
[D]1
[E]0.1
The inequality 1 - x 2 2 s i n x x 1 holds when x

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

Why is there no diffusion term in the mass continuity equation? Suppose that a fluid contains a binary mixture of dry air and water vapour. Show that the change in mass of a parcel of air due to the...

Q:

1. (10 points) (Markov's and Chebyshev's Inequality) a) Use Markov's inequality to show that for a sequence of positive random variables X 1 , X 2, . . . with values in N = {0, 1, 2, . . } and...

Q:

13 - X, 3. Let fix) = =+ 1. x > 2. y=3-x + RIN N Find lim, .2+ f(x) and lim,_2- f(x). b. Does lim, _2 f(x) exist? If so, what is it? If not, why not? c. Find lim, .4- f(x) and lim, .4- f(x). d. Does...

Q:

can you use Lhospital rule to evaluate these function please, and please dont take shortcut and show your work, especially number 7 i dont get numbder 7 Tutorial 3 - Questions - N @ 1700 F21 Syllabus...

Q:

can you use Lhospital rule to evaluate these function and dont make short cut please thank you i wanna see how to exactly do it especially number 7 Tutorial 3 - Questions - N @ 1700 F21 Syllabus -...

Q:

with full explanation please Ex. 1 Find the limits if they exist. Justify your 3p answer Q ) lim * +3 - JX X -21 1 - X 2- 1 b) lim log2 TRIM . ( ) lim 2 . sin XIN X 70 d ) lim - 7/X 2 e e ) lim x - 3...

Q:

Keleged A a da ger el say lar k mesi zerinde tan ml par a lar do rusal f fonksiyonunun grafi i verilmi tir Buna g re ORNEK 4 2 FO 3 X y f x lim f x 1 lim f x 1 x 2 X 4 toplam n n de eri ka t r 2 RNEK...

Q:

E Homework: Section 2.4 One- Part 1 of 4 points Sided Limits O Points: 0 of 1 Say 2 x*- 1 a. Graph f(x) = 1 - x , 1 , X = -1. b. Find lim f(x) and lim f(x). X- -1- X- - 1+ c. Does lim f(x) exist? If...

Q:

5. Recall the Binomial Theorem: For any positive integer n, ( c ty ) = ant ( " ) an -butt ... + ( n ? , ) andfun - ) (")20-', i=0 n! where (?) = i! (n - i)! is called a combinatorial number, n! = 1 x...

Q:

lim x l 1 x 2 3 x2 1 2x 2 4 lim x l 1 sx 2 3d lim x l 1 sx2 1 2x 2 4d Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example...

Q:

Consider the recurrent sequence Xe = 1, x = 2, & n = (23n2 + Xn-1), n > 2 You will find below a MATLAB function that is written to find the nth term of this sequence. However, this m-file named...

Q:

Identify the class width, class midpoints, and class boundaries for the given frequency table. Absences |Frequency 0-5 6-11 12-17 18-23 24-29 39 5 38 40 42

Q:

Tim Urban, owner/ manager of urbans Motor Court in Key West, is considering outsourcing the daily room cleanup for his motel to Duffys Maid Service. Tim rents an average of 50 rooms for each of 365...

Q:

Alpena Corporation manufactures smartphone and tablet cases. The following is the cost of each unit. Materials$ 8 . 0 5 Labor 3 . 6 5 Variable overhead 1 . 6 5 Fixed overhead ( $ 1 , 5 4 5 , 0 0 0...

Q:

Generate a project risk matrix for the Bike-sharing kiosks project and discuss the importance of defining the project risks. The WBS should contain the task, dependencies, the resources that are...