Please follow the each instruction (Clear and step by step work is needed for each problem).

1. Find the Taylor series forf(x)=sinx centered ata=(3/2) . Express your answer in sigma notation.

2. Find the interval of convergence for the series.k=0(2)k(x+3)k/3k+1

3. Use Taylor's Inequality to find an upper bound for the remainder termR3 for the Taylor series centered at a=0 forf(x)=ex when x is in the interval (1,1).