Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Let f and g be defined and differentiable in an open interval I, let a 1, suppose f(a) = g(a) 0 but g(x) and




Let f and g be defined and differentiable in an open interval I, let a 1, suppose f(a) = g(a) 0 but g(x) and g'(x) 0 if x # a. Suppose further that f'(x)/g'(x) Las xa. Show that f(x)/g(x) Las x a. =

Step by Step Solution

3.42 Rating (161 Votes )

There are 3 Steps involved in it

Step: 1

Since fa ga 0 we can apply LHopitals Rule to get Using the given information we know that fx gx ... 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

Step: 3

blur-text-image

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

An Introduction to Analysis

Authors: William R. Wade

4th edition

132296381, 978-0132296380

More Books

Students also viewed these Mathematics questions

Question

Let x R. a) Prove that |x| Answered: 1 week ago

Answered: 1 week ago