Find a polynomial of degree 3 such that f(0)= 3, f'(0)=6, f''(0)=12 and f'''(0)=25.
P3 (x)=?
Use the Taylor polynomial of degree four for the function f(x) =f (x)= ln (1+10x^2) below at x=0 to approximate ln (1.009).
P 4(x)= 10x^2 - 50x^4
The approximaye value of ln (1.009) is ?
(Do not round until the final answer. Then round to four decimal places as needed.)
Q3)
Find the Taylor polynomial of degree four for the function f (x)= ln (1+5x^2) at x=0.
The Taylor polynomial is P4(x)= ?
Q4)
Construct the fourth degree Taylor polynomial at x=0 for the function f (x)=3^4 √16+x.
P4 (x)=?
