Prove that every bounded increasing sequence is convergent

1 answer:

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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Complete the sentence 0.04 is 1/10 0f

soldier1979 [14.2K]

For this case we can define the following variable:

x: unknown number

We write the equation that models the problem:

$(\frac{1}{10}) * x = 0.04$

From here, we clear the value of x.

We have then:

$x = 0.04 * 10\\x = 0.40$

Answer:

Completing the sentence we have:

0.04 is 1/10 of 0.40

5 0

3 years ago

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Lara wants to inscribe a square in a circle using only a compass and straightedge. She will first construct a circle and locate

astraxan [27]

The answer is C. You can make a rectangle by putting the diagonals through the center anywhere, but if you want a square, you have to put the two diagonals perpendicular to each other and join their ends. See the diagram.