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19 Sept 2024

Let a0,a1,a2,a3......,an be constant such that a0+a1/2+a2/3+.......+an/n+1=0 prove that there exists a real number x belongs to (0,1) such that a0+a1x+a2x^2+.....+anx^n=0

 

Let a0,a1,a2,a3......,an be constant such that a0+a1/2+a2/3+.......+an/n+1=0 prove that there exists a real number x belongs to (0,1) such that a0+a1x+a2x^2+.....+anx^n=0

Let a0,a1,a2,a3......,an be constant such that a0+a1/2+a2/3+.......+an/n+1=0 prove that there exists a real number x belongs to (0,1) such that a0+a1x+a2x^2+.....+anx^n=0

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