Using Matlab

Using Taylor series expansion, sin(x) for values of x close to zero can be approximated using:

sin(x)xx33!+x55!x77!+...xnn!

Write a function sinxaroundzero(x,n) that returns the approximation for sin(x) using this formula. Assume n is an odd integer.

>> a = sinxaroundzero(1, 1) a = 1 >> a = sinxaroundzero(1, 3) a = 0.8333 >> a = sinxaroundzero(1, 5) a = 0.8417