Find the third Taylor polynomial P3(x)P_3(x)P3(x) for f(x)=e2xf(x) = e^{2x}f(x)=e2x centered at a=0a=0a=0.
1+2x+2x2+43x31 + 2x + 2x^2 + \frac{4}{3}x^31+2x+2x2+34x3
1+2x+4x2+8x31 + 2x + 4x^2 + 8x^31+2x+4x2+8x3
1+x+x2+x31 + x + x^2 + x^31+x+x2+x3
1+2x+2x2+23x31 + 2x + 2x^2 + \frac{2}{3}x^31+2x+2x2+32x3