Question
Let a, 3 are real numbers, 3> 0, and o is defined on [-1,1] by 2 cos(a|-), x#0 r = 0 O(x) = 0,
Let a, 3 are real numbers, 3> 0, and o is defined on [-1,1] by 2" cos(a|-), x#0 r = 0 O(x) = 0, Prove the followings i. o is continues if and only if a > 0. ii. o (0) exists if and only if a > 1. iii. o' is bounded if and only if a >1+B. iv. o' is continues if and only if a > 1+3. v. o"(0) exists if and only if a > 2+ B. vi. " is bounded if and only if a 2 2+ 23. vii. " is continuous if and only if a > 2+ 23.
Step by Step Solution
3.39 Rating (146 Votes )
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get StartedRecommended Textbook for
An Introduction to Analysis
Authors: William R. Wade
4th edition
132296381, 978-0132296380
Students also viewed these Mathematics questions
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
View Answer in SolutionInn App