5. Use the binomial series formulation to write the first 4 non-zero terms of the series expansion for f(x) = (1+ 2x²)'/4. Simplify the numerical coefficients. Do not write the sigma notation.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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5. Use the binomial series formulation to write the first 4 non-zero terms of the series expansion for
f(x) = (1+ 2x²)'/4. Simplify the numerical coefficients. Do not write the sigma notation.
Transcribed Image Text:5. Use the binomial series formulation to write the first 4 non-zero terms of the series expansion for f(x) = (1+ 2x²)'/4. Simplify the numerical coefficients. Do not write the sigma notation.
Expert Solution
Step 1

Binomial series 

                          If k is any real number and |x| < 1, then

                    Calculus homework question answer, step 1, image 1        

here k =1/4 and x = 2x2

 put these values in above expression (A), we get-

 

Step 2

Calculus homework question answer, step 2, image 1

 

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