Use power series operations to find the Taylor series at xequals=0 for the following function. x cubedx3sine StartFraction 3 pi x Over 2 EndFractionsin 3πx 2 The Taylor series for sine xsinx is a commonly known series. What is the Taylor series at xequals=0 for sine xsinx? Summation from n equals 0 to infinity∑n=0[infinity] StartFraction left parenthesis negative 1 right parenthesis Superscript n Baseline times x Superscript 2 n plus 1 Over left parenthesis 2 n plus 1 right parenthesis exclamation mark EndFraction (−1)n•x2n+1 (2n+1)! (Type an exact answer.) Use power series operations and the Taylor series at xequals=0 for sine xsinx to find the Taylor series at xequals=0 for the given function.