Question

[Trần Tuấn Đoàn]

Cho hàm số f(x) = \(x^{2014}-2015x^{2013}+2015x^{2012}-2015x^{2011}+...-2015x+2015\)

Khi đó f(2014)=

Answer 1

[Hồ Thu Giang]

=> \(f\left(x\right)=x^{2014}-\left(2014+1\right)x^{2013}+\left(2014+1\right)x^{2012}+...-\left(2014+1\right)x+2014+1\)

Mà x = 2014

=> \(f\left(2014\right)=x^{2014}-\left(x+1\right)x^{2013}+\left(x+1\right)^{2012}+...-\left(x+1\right)x+x+1\)

\(=x^{2014}-x^{2014}+x^{2013}-x^{2013}-x^{2012}+....-x^2-x+x+1\)

\(=1\)

=> f(2014) = 1

Answer 2

[Trần Tuấn Đoàn]

thank nha