Determine whether the following statements are true and give an explanation or counterexample. a. The linear approximation

Question:

Determine whether the following statements are true and give an explanation or counterexample.

a. The linear approximation to f(x) = x2 at x = 0 is L(x) = 0.

b. Linear approximation at x = 0 provides a good approximation to f(x) = |x|.

c. If f(x) = mx + b, then the linear approximation to f at any point is L(x) = f(x).

d. When linear approximation is used to estimate values of ln x near x = e, the approximations are overestimates of the true values.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Question Posted: