Chapters

Exercise 1

Prove that the sequence has a limit of . Also, calculate the terms whose distance from is less than .

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1st lesson free!
4.9 (28 reviews)
Paolo
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/h
1st lesson free!
4.9 (23 reviews)
Shane
£25
/h
1st lesson free!
5 (16 reviews)
Jamie
£25
/h
1st lesson free!
5 (17 reviews)
Matthew
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/h
1st lesson free!
4.9 (12 reviews)
Petar
£40
/h
1st lesson free!
5 (14 reviews)
Harinder
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1st lesson free!
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1st lesson free!

Exercise 2

Prove that the sequence has a limit of and calculate how many terms of the succession are not within .

Exercise 3

Prove that the sequence has a limit of and calculate how many terms of the succession are not within .

Exercise 4

Prove that . Also, calculate the terms whose distance from the limit is less than .

Exercise 5

Prove that the sequence has a limit of and determine how many terms in the sequence are less than a million?

Exercise 6

Prove that the sequence a has a limit of . Also, what term of the sequence produces values of less than ?

Solution of exercise 1

Prove that the sequence has a limit of . Also, calculate the terms whose distance from is less than .

From the distance to is less than

Solution of exercise 2

Prove that the sequence has a limit of and calculate how many terms of the succession are not within .

The first thousand terms of the sequence are out.

Solution of exercise 3

Prove that the sequence has a limit of and calculate how many terms of the succession are not within .

The first terms are out.

Solution of exercise 4

Prove that . Also, calculate the terms whose distance from the limit is less than .

From the distance to the limit is less than .

Solution of exercise 5

Prove that the sequence has a limit of and determine how many terms in the sequence are less than a million?

The first terms of the sequence.

Solution of exercise 6

Prove that the sequence a has a limit of . Also, what term of the sequence produces values of less than ?

If , its square root is , therefore,   a101 will be less than .

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