\(f\left(x\right)=1+x+x^2+x^3+...+x^{2010}+x^{2011}\)
\(f\left(1\right)=1+1+1+1+....+1+1\)(2013 hạng tử)
\(f\left(1\right)=2013\)
\(f\left(-1\right)=1+\left(-1\right)+\left(-1\right)^2+\left(-1\right)^3+....+\left(-1\right)^{2010}+\left(-1\right)^{2011}\)
\(f\left(-1\right)=1+\left(-1\right)+1+\left(-1\right)+...+1+\left(-1\right)\)
\(f\left(-1\right)=\left[1+\left(-1\right)\right]+\left[1+\left(-1\right)\right]+....+\left[1+\left(-1\right)\right]+\left(-1\right)\)
\(f\left(-1\right)=-1\)
Nhầm :v làm lại
\(f\left(1\right)=1+1+1^2+1^3+....+1^{2010}+1^{2011}.\)(2012 số 1)
\(f\left(1\right)=1.2012=2012\)
\(f\left(-1\right)=1+\left(-1\right)+\left(-1\right)^2+....+\left(-1\right)^{2010}+\left(-1\right)^{2011}\)
\(f\left(-1\right)=\left(1-1\right)+\left(1-1\right)+\left(1-1\right)+...+\left(1-1\right)\)(1006 cặp)
\(f\left(-1\right)=0\)