a.
To find: the first three terms and the general term for the Taylor series for f at x=1.
a.
Answer to Problem 71RE
1st term =
General Term
Explanation of Solution
Given information: given function f is
Concept Used:- Taylor series for f(x) at
Binomial Expansion of
Calculation:
On comparing with equation (a), we get
1st term =
General Term
b.
To find: the radius of convergence.
b.
Answer to Problem 71RE
Explanation of Solution
Given information: by sub part (a)
Concept used:-
Calculation:-
c.
To find: third order polynomial for f(x) at
c.
Answer to Problem 71RE
Explanation of Solution
Given information:
By subpart (a) and equation (1), third order Taylor polynomial of f(x) at
Calculation:
Now, by equation (2), we have third order Taylor polynomial of f(x) at
Now, approximating
Chapter 10 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Precalculus
Precalculus (10th Edition)
Calculus and Its Applications (11th Edition)
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