Day26c_Night_1432FinalComplete

Give the 5th degree taylor polynomial for f x lnx1

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: centered at 0. Give the 5th degree Taylor polynomial for f (x) = ln(x+1) centered at 0. Give the 5th degree Taylor polynomial for f (x) = cos(x) centered at 0. f ( 2 ) = − 1 , f ' ( 2 ) = 2 , f '' ( 2 ) = − 1 Give the 2nd degree Taylor polynomial for f centered at 2. Rewrite f (x) = 3x3 +2x2 – x + 1 in powers of (x – 2). Create the 3rd degree Taylor Polynomial for f (x) = arctan(x) centered at x = 0. Rn (c) x (x) = ( n + 1) ! f n +1 n +1 Use the Lagrange formula to find the smallest value of n so that the Taylor polynomial of degree n for f (x) = cos (x) centered at x = 0 can be used to approximate f (x) within 10 –4 at x = 1. Which term is truncated if we want to approximate the sum of with an error of less than 1 ? 1000 ∞ ( −1) ∑ 2n 3 n =1 n +1 −1 1. State the indeterminate form and compute the following limits : ln( n + 4 ) a. l i m n →∞ n+2 b. lim ( 3n ) 2 n n→∞ 3⎞ ⎛ c. l i m ⎜ 1 + n →∞ n⎟ ⎝ ⎠ d. lim x →0 2n x − sin ( 2x ) x + sin ( 2x ) e...
View Full Document

Ask a homework question - tutors are online