Taylor and MacLaurin Series: Compute the Taylor Series below. WeBWorK does not understand factorials, so you will need to enter numerical values. For example, enter "1/6" instead of "1/3!". You may also need to enter factors 0 or 1.
$e^x =$ $+$ $x +$ $x^2 +$ $x^3+$ $x^4+ \ldots$.
$\cos^2 x =$ $+$ $x +$ $x^2 +$ $x^3+$ $x^4+ \ldots$.
$x^x =$ $+$ $(x-1) +$ $(x-1)^2 +$ $(x-1)^3+$ $(x-1)^4+ \ldots$.
$4x^4+3x^3+2x^2+x+1 =$ $+$ $(x-1) +$ $(x-1)^2 +$ $(x-1)^3+$ $(x-1)^4$.