Question

Taylor polynomial??? Lagrange remainder??
I dont know how to find Taylor polynomial P4 of
f(x)= x + 3sin(x)

and Lagrange form of the remainder R3(x) of
f(x)= ln(3x^2) + 6x^4

Please please i'm so lost in this part of calculus

Answer 1

Hi nikets,
for first question about taylor polonomial,
my answer is
sinx = x/1! - x^3/3! + x^5/5!..
3sinx =3*(x/1! - x^3/3! + x^5/5!...)
x + 3sinx = 4x -x^3/2 + x^5/5*4*2 + ...

Answer 2

4x-x^3/2 + o[x]^4