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jeka94
3 years ago
8

The length of a plot of land is

Mathematics
1 answer:
Firdavs [7]3 years ago
5 0

Answer:

1/8 mile.

Step-by-step explanation:

That is 1/2 / 4

= 1 / 2 * 1/4

= 1/8 mile.

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Answer and Step-by-step explanation:

Solution:

(a) Let (bn) be a bounded sequence of (an) then, Bolzano- Weierstrass theorem,

(bn) contains a subsequence that is converges.

(b) The sequence :

Xn = 1 + (-1) n / 2 + 1/n

Clearly, (xn) does not contain 1 or 0.

If we take sequence (x2n), then it converges to 1 and when we take sequence (x2n+1),

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(c) The sequence:

1

1,1/2

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i.e

(xn) = (1,1/2, 1, 1/2, 1/3, …)

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It has sub sequence that converges to every point in infinite set {1, 1/2, 1/3, 1/4, 1/5…}.

(d) The sequence

{1, 1/2, 1/3, 1/4, 1/5…}

if we take sequence of given set, then, this set converges to zero. This is not contained in it.

If (xn) converges to every point in set {1, 1/2, 1/3 …} then there exists subsequence which converges to 0. And 0 does not belong to given set.

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