Question

prove that in algebra 0=1​

Answer 1

Answer:

There are many was to prove this :

1> Let us consider some examples :

5! = 5*4*3*2*1 = {6*5*4*3*2*1} ÷ 6 = 6! ÷ 6

4! = 4*3*2*1 = {5*4*3*2*1} ÷ 5 = 5! ÷ 5

3! = 3*2*1 = {4*3*2*1} ÷ 4 = 4! ÷ 4

DID YOU NOTICE THE PATTERN?

n! = (n+1)! ÷ (n+1) GOT IT ?

Following this pattern,

when we put n=0, we get :

0! = (0+1)! ÷ (0+1) = 1! ÷ 1 = 1 ÷ 1 = 1

→ 0! = 1 (proved)

Let us consider some examples :

4! = 4*3*2*1 = 4 * 3!

3! = 3*2*1 = 3 * 2!

2! = 2*1 = 2 * 1!

DID YOU NOTICE THE PATTERN?

n! =n * (n-1)! GOT IT ?

putting n = 1, we get

1! = 1 * (1–1)! = 1 * 0!

→ 0! = (1! / 1) = (1 / 1) = 1

→ 0! = 1 (proved)

hope it will help you ✌️✌️