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anginih86

anginih86

Answered question

2022-06-29

For f : R R and n N s. t. n 2
lim x 0 { f ( x ) + f ( n x ) } = 0
Prove/disprove :
lim x 0 f ( x ) = 0

Answer & Explanation

Marlee Norman

Marlee Norman

Beginner2022-06-30Added 18 answers

2 f ( x ) = ( f ( x ) + f ( 2 x ) ) + ( f ( x ) + f ( 4 x ) ) ( f ( 2 x ) + f ( 4 x ) )
Therefore lim x 0 f ( x ) = 0

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