Question

Why is 0! = 1 ?
Give me the proof !

Answer 1

✔️✔️factorial of a number can be written as:-

⭕️product of that number and factorial of its previous number.

i.e
n! = n × (n - 1)!

✔️✔️Ratio of given number’s factorial and same number will be equal to factorial of its previous number:-

n!n = (n - 1)!    

✔️✔️When given number = 1, it will be equal to its previous number’s factorial =0!

For n = 1,

so.....

1!1 = (1 - 1)! = 0!

Hence we can say that

✔️0! = 1. ✔️

➖➖➖➖alternatively ➖➖➖➖

n!= n x (n-1)!

✔️✔️rearranging this eq :-

n!/n = (n-1)!

let's take n=1. Substituting,

1!/1= (1-1)!

1/1= 0!

✔️0!= 1✔️

Answer 2

Answer:

Answer: Zero to zeroth power is often said to be "an indeterminate form", because it could have several different values. Since x0 is 1 for all numbers x other than 0, it would be logical to define that 00 = 1.tep-by-step explanation: