Find the Taylor polynomial Tn(x) for the function f at the number a. Graph f and T3 on the same paper.

f(x)= e^-3x sin(3x), a= 0, n=3

f(x)= ln x/x, a= 1, x= 3

Please help me with these two problems. Thanks

Printable View

- November 11th 2009, 06:43 PMshah4u19Taylor Polynomials?
Find the Taylor polynomial Tn(x) for the function f at the number a. Graph f and T3 on the same paper.

f(x)= e^-3x sin(3x), a= 0, n=3

f(x)= ln x/x, a= 1, x= 3

Please help me with these two problems. Thanks - November 11th 2009, 07:52 PMDrexel28
- November 11th 2009, 08:04 PMshah4u19
Well, for the first term, I have tried whatever I could. I know maclaurin series for e^-3x is (-3x)^n/n! and maclaurin series for sin (3x) is (-1)^n (3x)^(2n+1)/(2n+1)!. I tried to divide sin(3x)/e^3x upto 3rd degree and submitted the answer I got, but it was wrong. So I don't know what to do now.

For ln x/x, I dont know where to start.

Thanks Anyways. - November 11th 2009, 08:11 PMDrexel28