Suppose {xn} is increasing and has a subsequence {xnk} which converges to L. We will prove that {xn} itself converges to L.
For any ϵ>0, we want to find an integer Nϵ such that |xn−L|≤ϵ for any n≥Nϵ.
Since {xnk} is increasing and converges to L, we can find kϵ such that for any k≥kϵ, −ϵ<xnk−L<0.
Take Nϵ=nkϵ, then for any n≥Nϵ, xnkϵ≤xn≤L, so −ϵ≤xnkϵ−L≤xn−L≤0.
Similarly, we can prove when {xn} is decreasing
Pls help I need ASAP pls
Answer:
-1
Step-by-step explanation:
The line goes down 1 grid square for each grid square to the right. Each grid square represents 1 unit in both the x- and y-directions. That means the slope is ...
m = rise/run = -1/1 = -1
The slope of the line is -1.
simplify the expression 5 (6 + 7 and) using the distributive property
Answer:
65
Step-by-step explanation:
5(6 + 7)
Distribute 5 to 6 and 7.
(5x6)+(5x7)
Multiply.
30+35
Add.
65
Hope this helps :)
What is the product of ?
Answer: Mathematics
Step-by-step explanation:
Answer: Hello I want to know what is the product of what you need to give me a number.
Step-by-step explanation:
How do I do this man
Answer:
D
Step-by-step explanation:
g(x)=[tex]-\sqrt[3]{x-1}[/tex]
What is 1/3÷1/2 math answers?
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
An airplane flies with a constant speed of 720 miles per hour. How far can it travel in 14 minutes?
Answer:
It is 168 miles
Step-by-step explanation:
720 divided by 60 is 12. 12 times 14 is 168
=
Given f(x) = 3x2 + 5x + k, and the remainder when f(x) is divided by
x + 3 is 29, then what is the value of k?
Answer:
the answer is k=2
Step-by-step explanation:
Pre college need help
Answer:
f(-8) = 169
Step-by-step explanation:
Divide the following polynomial, then place the answer in the proper location on the grid.
(a^2n - a^n - 6) (a^n + 8)
Answer:
Step-by-step explanation:
(a^2n/a^n+8) - (a^n/a^n+8) - (6/a^n+8)
I'm not sure if this is what you're looking for but I got this when dividing.
Find the quotient. Answer
should be in simplest form.
Does "greater than" sign and "not equal to" sign denote the same thing?
Hello!
The "greater than sign" means one number is greater than the other.
Example: 4>2 (4 is greater than 2)
The "not equal to sign" means one number is not equal to another one.
Example: 15[tex]\neq[/tex]17 (15 is not equal to 17)
Hope this helps!
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature[/tex]
no they dont
greater than sign denotes that the first digit is greater than the other digit
i put in the question as png pls help
Answer:
Screen shot it then save as then save as a png then turn it in
Step-by-step explanation:
Help help help help help pleases pelass thank you
Answer:
a' (-6,7) b' (-5,3) c'(-2,4)
Step-by-step explanation:
please answer fully ?/'//////////////////////
Answer:
(saving my answer for the question)
what is the problem?
Step-by-step explanation:
The difference of a number and six is negative four
Need help with this quick plz??
Answer:10 or someones else’s answer this not my best
Step-by-step explanation:
pls find prism if you find it your littearly a pro hacker
Answer:
24 cubic unitsStep-by-step explanation:
Given, in picture,It is a rectangular prism.
It's length in units = 4
It's breadth in units = 2
It's height in units = 3
Therefore,Volume of the given rectangular prism
= length × breadth × height
= 4 units × 2 units × 3 units
= 24 cubic units (Ans)
Serena has 24 apps on her tablet. Of these apps, 6 are games. What percent of Serena's apps are games?
Answer:
25%
Step-by-step explanation:
Like and give 5 star rating
Mark brainllest please
2 < 3 < 5
True
False
Answer:
The answer is true.
Step-by-step explanation:
I am greater than 320. You say my number if you start at 324 and count from 10 to 10. I have the same number of tens and ones.
Answer:
344
Step-by-step explanation:
Um..... sorta confusing, but I think you are only allowed to increase by 10 each time, so then you need to add 20 to make 344, where the units digit and tens digit are the same
Can someone please help me
Answer:
The linear ones
options 1 and 3
Step-by-step explanation:
4 and 5 are parabolic with maxima at y = -4 and minima at y = -3.25 respectively
2 is asymptotic to the negative x axis on the positive side
4. Sale of Mathematics and English books in the year 2005, 2006, 2007 and 2008 are given below : Years Mathematics English 2005 200 100 2006 300 250 2007 400 200 2008 500 500 Question 1. In which year is the difference in the sale minimum? (a) 2008 (b) 2007 (c) 2006 (d) 2005 Question 2.
Step-by-step explanation:
2008because there is no difference between the number of sold notebooks
A square is inscribed in a circle as shown below. The radius of the circle is
decreasing at a constant rate of ½ centimeter per second. When the
radius of the circle is 4√2 centimeters, what is the rate of change of the
area of the shaded region found outside the square but inside the circle.
Answer:
3
Step-by-step explanation:
What’s 100/100 in simplest form
Answer:
1 or 1/1.
Step-by-step explanation:
100/100 simplest form is 1.
We know this because 100/100 is 1. You could just do 1/1.
100/100 to 10/10 to 1/1 which is 1.
Amanda's family is taking a road trip. Their car can travel no more than 352 miles without needing to refill the gas tank. They have
traveled 108 miles since they last filled the gas tank.
Amanda knows that the inequality representing this situation is 108 + x < 352.
Select from the drop-down menu to correctly interpret the solution of this inequality.
Amanda family cannot travel more than 244 miles without needing to refill the gas tank.
Inequality is the non equal comparison of numbers or variables.
Let x represent the number of miles that they can travel before filling their gas tank.
Their car can travel no more than 352 miles without filling their tank. Also, they have traveled 108 miles since they last filled the gas tank. Hence:
x + 108 < 352
x < 244
This means that Amanda family cannot travel more than 244 miles without needing to refill the gas tank.
Find out more at: https://brainly.com/question/25285332
Please help with the homework thanks
Answer:
1. 7
2. 8
3. 17 cars
4. 6 guppies
5. 54
6. 15 pencils
Step-by-step explanation:
Have a great day! Feel free to mark as brainliest! :)
Find the equation of the line shown!!!
Answer:
y = x + 6
Step-by-step explanation:
In the EXPLORE online library, the ratio of the number of novels to that of dictionaries is 2:3 and the total number of novels is 624. If Joe buys more novels and the ratio becomes 7:3, then how many novels have been bought in total?
Using a system of equations, it is found that 1530 more novels have been bought in total.
For the system, we have that:
x is the number of novels.y is the number of dictionaries.The ratio of the number of novels to that of dictionaries is 2:3, hence:
[tex]\frac{x}{y} = \frac{2}{3}[/tex]
[tex]3x = 2y[/tex]
[tex]y = \frac{3x}{2}[/tex]
Total number of novels is 624, hence:
[tex]x = 624[/tex]
[tex]y = \frac{3}{2} \times 624 = 936[/tex]
Buys z more novels, and the ratio becomes [tex]\frac{7}{3}[/tex], hence:
[tex]\frac{624 + z}{923} = \frac{7}{3}[/tex]
[tex]1872 + 3z = 6461[/tex]
[tex]z = \frac{6461 - 1872}{3}[/tex]
[tex]z = 1530[/tex]
1530 more novels have been bought in total.
A similar problem is given at https://brainly.com/question/17096268
Find the volume of a square based pyramid with a base length of 8 m and a height of 14 m.
[tex]V = \frac{1}{3} \times base \: area \: \times height \\ [/tex]
[tex]V = \frac{1}{3} \times {8}^{2} \times 14 \\ [/tex]
[tex]V = \frac{1}{3} \times 64 \times 14 \\ [/tex]
[tex]V = \frac{896}{3} \: \: \: {m}^{3} \\ [/tex]
Sabrina has eight boxes of crayons, with ten crayons in each box. She uses twelve crayons. How many crayons does she
have left?
Answer:
68
Step-by-step explanation:
8 boxes. 10 per one box. 8×10=80
80-12= 68