Answer: Approximations with Taylor polynomialsa. Use the

Chapter 7, Problem 24E

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Approximations with Taylor polynomials

a. Use the given Taylor polynomial \(p_{2}\) to approximate the given quantity.

b. Compute the absolute error in the approximation assuming the exact value is given by a calculator.

Approximate In 1.06 using f(x) = In (1 + x) and \(p_{2}(x)=x-x^{2} / 2\).

Questions & Answers

QUESTION:

Approximations with Taylor polynomials

a. Use the given Taylor polynomial \(p_{2}\) to approximate the given quantity.

b. Compute the absolute error in the approximation assuming the exact value is given by a calculator.

Approximate In 1.06 using f(x) = In (1 + x) and \(p_{2}(x)=x-x^{2} / 2\).

ANSWER:

Solution 24E
Step 1:
        
Given
        To approximate
 , we use
        

        

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back