Use Taylor polynomials about 0 to evaluate sin(0.3) to 4dp,showing all workings.
1)F(x)=square root 4+x and G(x)=square root 1+x
by writing square root of 4+x=2 square root 1+1/4x
and using substitution in one of the standard Taylor series, find the Taylor series about 0 for f.Given explicitly all terms up to term in x raise to power 3.determine a range of validity for this Taylor series.
This shows how to use Taylor polynomials to evaluate a trigonometric function and a square root function, and find a Taylor series.