This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: n Â¶ n 1 Taylor Polynomials In problems 1  4, a) Derive the expressions for the Maclaurin polynomials of the indicated orders for f ( x ) , b) Derive the general expression for the Maclaurin polynomials for f ( x ) : 1*. f ( x ) = cos ( x ) , n = 2 , 4 , 6 2*. f ( x ) = ln ( x + 1) , n = 1 , 2 , 3 , 4 3. f ( x ) = sinh ( x ) , n = 1 , 3 , 5 4*. f ( x ) = cosh ( x ) , n = 2 , 4 , 6 In problems 58, derive the expressions of the Taylor polynomials of the indicated order for f ( x ) based at a : 5*. f ( x ) = arctan f ( x ) , a = 0 , n = 3 6. f ( x ) = arcsin ( x ) , a = 0 , n = 3 7. f ( x ) = âˆš x, a = 1 , n = 4 8*. f ( x ) = x 1 / 3 , a = 1 , n = 4 2...
View
Full Document
 Winter '08
 Geveci
 Polynomials, Taylor Series, Limit, lim

Click to edit the document details