How do I know that the expression: 1/(1−x)

Elise Kelley

Elise Kelley

Answered question

2022-10-20

How do I know that the expression:
1 1 x
Is equal to the infinite sum:
( 1 x ) ( 1 x ) 2 ( 1 x ) 3 ( 1 x ) 4 + . . .

Answer & Explanation

rcampas4i

rcampas4i

Beginner2022-10-21Added 22 answers

1 1 x = 1 x [ 1 x 1 ] = ( 1 x ) 1 1 ( 1 x ) = ( 1 x ) [ 1 + ( 1 x ) 1 + ( 1 x ) 2 + ( 1 x ) 3 + ( 1 x ) 4 + ]

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