Recent content by mpgcbball

for any function in general...thanks!

is there a general method to finding the nth degree polynomial? or is it always just f^n(a)x^n/nfactorial ?? Thanks!

but is what i wrote for P(x) the nth degree polynomial? Thanks

Homework Statement 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: P(x)= f(x)+f'(x)x+f''(x)x^2/2factorial...f^n(x)x^n/nfactorial so...

Hi, I'm having a bit of trouble showing that the integral from 1 to infinity of x/((1+x^6))^1/2 converges or diverges by the comparative property. I'm not sure if I'm setting it up right, but so far I have that 1/rad(1+x^6) is less than or equal to x/rad(1+x^6) which is less than 1/rad(x^6)...

im still getting stuck at xarctan(1/x)-int(-x/x^2+1)

ooooh i get it! thank you

that doesn't make any sense to me, but thankyou for trying to help. i don't know what "it" is referring to that I am supposed to be taking as 1*arctan(?)

im not really understanding how to get that line. i don't know what to assign as u and dv. the xarctan1/x is the part that confuses me because i don't see where the x comes from

Homework Statement integrate arctan(1/x) Homework Equations The Attempt at a Solution z=arctan(1/x) dx=-dz(x^2-1) now its the integral of z(x^2-1)dz let u =X^2-1 du=2x dv=-udu v=-u^2/2 integral=(x^2-1)(-u^2/2) - int (-u^2)(2x) this is where i got stuck but i...

im having a bit of trouble, can anyone help me integrate arctan(1/x) using integration by parts? thanks