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andrew-mc [135]
3 years ago
14

Prove that every bounded increasing sequence is convergent

Mathematics
1 answer:
aleksklad [387]3 years ago
4 0
The proof of this can be get with a slight modification. It can be prove that every bounded is convergent, If (an) is an increasing and bounded sequence, then limn → ∞an = sup{an:n∈N} and if (an) is a decreasing and bounded sequence, then limn→∞an = inf{an:n∈N}.
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19. You roll two standard number cubes. What is the probability that the sum is odd, given than one of the number cubes shows a
In-s [12.5K]

6 numbers per cube

 if one is a 1, then the other one has to be a 2, 4 or 6 to be an odd sum

1+2=3, 1+4=5,1+6=7

 since there are 3 numbers you can get that would be a 3/6 ( reduce to 1/2) probability


so 1/2 probability

5 0
3 years ago
Read 2 more answers
Which represents the solution set of 5(x+5) < 85?
Maru [420]

Answer:

\Huge \boxed{X

Step-by-step explanation:

To solve this problem, first you have to isolate it on one side of the equation. Remember to solve this problem, find represents the solution of 5(x+5)<85.

First, you divide by 5 from both sides.

\displaystyle \frac{5(x+5)}{5}

Solve.

\displaystyle 85\div5=17

\displaystyle x+5

Next, subtract 5 from both sides.

\displaystyle x+5-5

Solve.

\displaystyle 17-5=12

As a result, the correct answer is x<12.

<h2>Hope this helps! </h2><h2 /><h2>Have a wonderful blessing day! :)</h2><h2 /><h2>Good luck! :)</h2>
3 0
3 years ago
Somebody please HELP I NEED TO PASS THIS
Diano4ka-milaya [45]
Y is equal to 21 and x is equal to 10
7 0
3 years ago
I need help! please!
mamaluj [8]

Answer:

-  \frac{1}{3}

Step-by-step explanation:

The only thing important in this question in the original equation is the slope, which is 3, the multiplyer for x. To find the opposite slope follow the steps below.

The first step is to make the original slope into a fraction.

\frac{3}{1}

Then flip the numerator and denominator.

\frac{1}{3}

Now multiply this value by -1.

\frac{1}{3}  \times ( - 1) =  -  \frac{1}{3}

There is the opposite slope of 3.

7 0
2 years ago
Please help in math!! Solution needed
Marysya12 [62]
This is the same as any math problem you may have solved before.

First, start by isolating the x on one side. I will choose to keep the coefficient positive, so I will add x to both sides.

6>2x+2

Subtract 2

4>2x

Divide by 2

2>x

Or

x<2
5 0
3 years ago
Read 2 more answers
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