(a) Suppose that $f:\mathbf{R}\to\mathbf{R}$ is ``continuous from the right'', that is, $\displaystyle{ \lim_{x\to a+}f(x)=f(a),}$ for each $a\in\mathbf{R}$ . Show that $f$ is continuous when considered as a function from $\mathbf{R}_{\ell}$ to $\mathbf{R}$ . (b) Can you conjecture what functions $f:\mathbf{R}\to\mathbf{R}$ are continuous when considered as maps from $\mathbf{R}$ to $\mathbf{R}_{\ell}$ ? As maps from $\mathbf{R}_{\ell}$ to $\mathbf{R}_{\ell}$ ?
in Other Math Topics by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

Related questions

0 answers
asked Dec 2, 2013 in Other Math Topics by sportslover1005 Level 1 User (120 points) | 226 views
1 answer
asked Jan 27, 2017 in Algebra 2 Answers by dancing lashes Level 1 User (140 points) | 273 views
2 answers
asked Dec 11, 2015 in Algebra 1 Answers by anonymous | 243 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
86,810 questions
93,393 answers
24,169 users