How to find the nth term of this Series.

[mundane]

Homework Statement

1. First, calculate the Taylor polynomial of degree 4 for f(x)=sin(3x) about x=0.

2. Then find the 156th term of the infinite Taylor Series for g(x)=sin(3x)

Homework Equations

My Taylor polynomial ended up being -4.5x³+3.

The Attempt at a Solution

I understood part one, but how do I use the nth term for infinite series equation on the polynomial I just developed? Or is it asking something different?

 

[rock.freak667]

From the terms you calculated, look at the pattern of the formulas and see if you can formulate the expression for an nth term.

Then you'd want n=156

If you know the expansion of sinx about x=0 or how to formulate the nth term, it is a similar exercise.

 

[Dick]

Homework Statement

1. First, calculate the Taylor polynomial of degree 4 for f(x)=sin(3x) about x=0.

2. Then find the 156th term of the infinite Taylor Series for g(x)=sin(3x)

Homework Equations

My Taylor polynomial ended up being -4.5x³+3.

The Attempt at a Solution

I understood part one, but how do I use the nth term for infinite series equation on the polynomial I just developed? Or is it asking something different?

Your degree 4 Taylor polynomial is also a bit off. Is that just a typo?