CalculusHard ShareCalculus · Hard problemWrite the Maclaurin series for exe^{x}ex (through the x3x^3x3 term).A1+x+x22+x361+x+\tfrac{x^2}{2}+\tfrac{x^3}{6}1+x+2x2+6x3B1+x+x22+x371+x+\tfrac{x^2}{2}+\tfrac{x^3}{7}1+x+2x2+7x3C1+x+2x2+x361+x+\tfrac{2}{x^2}+\tfrac{x^3}{6}1+x+x22+6x3D1−x+x22+x361-x+\tfrac{x^2}{2}+\tfrac{x^3}{6}1−x+2x2+6x3Check Show answer Walk through it step by step Practice more like this