Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Prove that if a function f is continuous at a point x=c and differentiable at x=c then the function is locally Lipschitz continuous at x=c.

Prove that if a function f is continuous at a point x=c and differentiable at x=c then the function is locally Lipschitz continuous at x=c.

Step by Step Solution

3.51 Rating (151 Votes )

There are 3 Steps involved in it

Step: 1

The detailed answer for the above question is provid... blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Introduction to Real Analysis

Authors: Robert G. Bartle, Donald R. Sherbert

4th edition

471433314, 978-1118135853, 1118135857, 978-1118135860, 1118135865, 978-0471433316

More Books

Students also viewed these Mathematics questions

Question

Find the inverse, if it exists, for the matrix. -1

Answered: 1 week ago

Question

Show that lim(Arctan nx) = (/2)sgn x for x R.

Answered: 1 week ago