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andrew-mc [135]
2 years ago
14

Prove that every bounded increasing sequence is convergent

Mathematics
1 answer:
aleksklad [387]2 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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Identify the domain and range of each relation. Use a mapping diagram to determine whether the relation a function.
Xelga [282]

Answer:

Domains- 6, 5, 1, 7

Ranges- -7, -8, 4, 5

6 0
3 years ago
in a rectangle, the ratio of the width to the length is 4:5. If the rectangle is 40 centimeters long find its width
dybincka [34]
Gofipanswer.com copy and paste ur answer it showes the answer and  explains it good luck    god bless<3
4 0
3 years ago
Please help, I'll mark Brainiest. It's 8th grade math
yawa3891 [41]

Answer:

(-5, 2)

Step-by-step explanation:

<u>plug x into the equation x - 5y = -15</u>

-5 - 5y = -15

add 5 to both sides: -5y = -10

divide by -5: y = 2

7 0
2 years ago
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Is 4/6 = 9/12 not proportionate
andre [41]

\text{If}\ \dfrac{a}{b}=\dfrac{c}{d}\ \text{is proportional, then}\ ad=bc.\\\\\text{We have}\ \dfrac{4}{6}=\dfrac{9}{12}.\ \text{Cross multiply}\\\\(4)(12)=(6)(9)\\\\48=54\ FALSE\\\\Answer:\ NOT\ PROPORTIONAL

4 0
2 years ago
Find the product of<br> (x2 + 3x + 1)(x2 + x + 2)
Bogdan [553]

Answer: x^4+4x^3+6x^2+7x+2

Step-by-step explanation:

To solve the exercise you must apply the following proccedure:

- Apply the distributive property.

- Keep on mind that when you multiply two powers with equal base, you must add the exponents.

- Add like terms.

Therefore, you obtain the following product:

=x^{(2+2)}+x^{(2+1)}+2x^2+3x^{(1+2)}+3x^{(1+1)}}+6x+x^{2}+x+2\\=x^4+x^3+2x^2+3x^3+3x^2+6x+x^2+x+2\\=x^4+4x^3+6x^2+7x+2

4 0
3 years ago
Read 2 more answers
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