Taylor Polynomial - Calculus - Quiz, Exercises of Calculus

This is class quiz. Its from Calculus class. Some key points are: Taylor Polynomial, Degree, Approximating, Three Taylor Polynomial, Taylor Series, Summation, Series

Typology: Exercises

2012/2013

Uploaded on 03/16/2013

ranga
ranga 🇮🇳

3.3

(7)

239 documents

1 / 1

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
MATH 106D - CALCULUS II
WINTER 2005
QUIZ 6*
NAME:
Show ALL your work CAREFULLY.
Consider the function
f(x)= 1
1+x.
(a) Find the degree four Taylor polynomial P4(x) for approximating f(x)
near x=0.
(b) Find the degree three Taylor polynomial P3(x; 1) for approximating
f(x)nearx=1.
(c) Write down the Taylor series (using summation sign, i.e., you need to
find the general n-th term of the series) for f(x)nearx=0.
Date: March 7, 2005.
1

Partial preview of the text

Download Taylor Polynomial - Calculus - Quiz and more Exercises Calculus in PDF only on Docsity!

MATH 106D - CALCULUS II

WINTER 2005

QUIZ 6*

NAME:

Show ALL your work CAREFULLY.

Consider the function f (x) =

1 + x

(a) Find the degree four Taylor polynomial P 4 (x) for approximating f (x) near x = 0.

(b) Find the degree three Taylor polynomial P 3 (x; 1) for approximating f (x) near x = 1.

(c) Write down the Taylor series (using summation sign, i.e., you need to find the general n-th term of the series) for f (x) near x = 0.

Date: March 7, 2005. 1