6. Let ƒ(x) = |x| on R, prove that there is no (an) s.t. Σẵ_0 ªnx” = f(x) for any x E R. (hint: f(x) is not differentiable at x = = 0).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 48E
icon
Related questions
Question
6. Let ƒ(x) = |x| on R, prove that there is no (an) s.t. Σo anx² = f(x)
for any x E R. (hint: f(x) is not differentiable at x = = 0).
n=0
Transcribed Image Text:6. Let ƒ(x) = |x| on R, prove that there is no (an) s.t. Σo anx² = f(x) for any x E R. (hint: f(x) is not differentiable at x = = 0). n=0
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning