4.8 Taylor polynomials the taylor polynomials generated by f(x) at x=0 is .. F(0) fn(x) = f(0) + ƒ(0) -x+ 1! -x² +...... fn(0) -xn 2! n! Example //find the taylor polynomials generated by f(x)=ex at x = 0 soltion// f(x) = ex. f(0) = eº = 1 f(x) = ex. F(0) = 1 F(x) = ex. 7(0) = 1 The taylor poly. is 1 1 1 1! 2! +. -xn n! fn(x) =1+=x+ Example//find the taylor polynomials for f(x)= cos x. Soltion// f(x)cos x. f(0) = 1 f(x) = -sinx. F(0) = 0 F(x) == COS X. F(0) = -1 The taylor poly. is fn(x)=1+0−2x+.

4.8 Taylor polynomials the taylor polynomials generated by f(x) at x=0 is .. F(0) fn(x) = f(0) + ƒ(0) -x+ 1! -x² +...... fn(0) -xn 2! n! Example //find the taylor polynomials generated by f(x)=ex at x = 0 soltion// f(x) = ex. f(0) = eº = 1 f(x) = ex. F(0) = 1 F(x) = ex. 7(0) = 1 The taylor poly. is 1 1 1 1! 2! +. -xn n! fn(x) =1+=x+ Example//find the taylor polynomials for f(x)= cos x. Soltion// f(x)cos x. f(0) = 1 f(x) = -sinx. F(0) = 0 F(x) == COS X. F(0) = -1 The taylor poly. is fn(x)=1+0−2x+.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 54E

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