Sum and Table

The Maclaurin series of sin(x) is:

 sin(x)=(∑_(k=0)^∞)(((((-1))^k)(x^(1+2k)))/((1+2k)!))

Question 1

a) Use the sum command to give the first 5 terms of the Maclaurin Series for sine.

b) Define a function that calculates the first n terms of the Maclaurin Series for sine.

c) Plot a graph of the first 4 terms of the Maclaurin Series for sine.

d) Use the table command to plot a list of graphs showing the first 1 to the first 5 terms of the Maclaurin Series for sin(x)