Question

Write the set {1,1/2,1/3,1/4............} in the set builder form

Answer 1

Heya user !!!

Here's the answer you are looking for

Let set A = {1,1/2,1/3,1/4.........}

In set builder form,

$A = (\frac{1}{n}; \: n > 0 \: )$

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Answer 2

Answer:

The set builder form of the given set is $\{x: x=\frac{1}{n},n\in \mathb{N} \}$                        

Step-by-step explanation:

Given : Set $\{1,\frac{1}{2},\frac{1}{3}, \frac{1}{4},.....\}$

To find : Write the set in the set builder form?

Solution :

In the given set,

Numerator is constant i.e. 1.

Denominator changes i.e. 1,2,3,4,.....

Numbers in denominator belongs to natural number.

So, The set builder form of the given set is

$\{x: x=\frac{1}{n},n\in \mathb{N} \}$

Where, n belongs to the natural numbers, n=1,2,3,4....

Therefore, The set builder form of the given set is $\{x: x=\frac{1}{n},n\in \mathb{N} \}$