Taylor series the taylor series generated by f(x) at x=a is .. f(a) F(a) f(a)+ (x - a) + (x-( f" (a) a)²+...... (x-a)n 1! 2! n! Example /find the taylor series for f(x)=cos x at x=2π. Soltion// f(x)cos x. ƒ(2π) = 1 f(x) = -sinx. F(2) = 0 F(x) = - COS X. F(2π) = =-1 The taylor series is 1 1+0- (x- -2)²+..... 2! Example/find the taylor series for f(x)= ½- at x=2. Soltion// 1 f(x) == ½ ½ ƒ(2) = 1 f(x) = 11. F(2) = 44 2 1 7(x) = 23. 7(2) = 1/13 - 11 = 8 4 The taylor series is 1 1 (x-2)+ 2 4 * 1! 4 * 2! 1 (x − 2)²+.....
Taylor series the taylor series generated by f(x) at x=a is .. f(a) F(a) f(a)+ (x - a) + (x-( f" (a) a)²+...... (x-a)n 1! 2! n! Example /find the taylor series for f(x)=cos x at x=2π. Soltion// f(x)cos x. ƒ(2π) = 1 f(x) = -sinx. F(2) = 0 F(x) = - COS X. F(2π) = =-1 The taylor series is 1 1+0- (x- -2)²+..... 2! Example/find the taylor series for f(x)= ½- at x=2. Soltion// 1 f(x) == ½ ½ ƒ(2) = 1 f(x) = 11. F(2) = 44 2 1 7(x) = 23. 7(2) = 1/13 - 11 = 8 4 The taylor series is 1 1 (x-2)+ 2 4 * 1! 4 * 2! 1 (x − 2)²+.....
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
Question
100%
I hope that you will clarify this topic again and solve the examples in detail, and I am confident that I will give you an upvote.
Thank you.....
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage