I'm trying to make the nth degree taylor polynomial for f(x)=sqrtx centered at 4 and then approximate sqrt(4.1) using the 5th degree polynomial
I know that the polynomials are found using the form:
so would P(4) just be:
f(4)+f'(4)x + f''(4)x^2/2factorial + f'''(4)x^3/3factorial...
and then would i just plug in 4.1 for x?
thanks for your help...i would also appreciate any general comments on taylor polynomials as I don't really understand them. Thanks!