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Can you proove 0= 1 ..... |
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Answer» Answer: HEY BUD BRAINLIEST PLEASE !Step-by-step explanation: 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) 2> 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) |
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