Answer to Question #177815 in Real Analysis for Nikhil

Question #177815

The function: f : [-1,3]→R defined by: f(x)= 3x+1/(x^2+4) is uniformly continuous on [-1,3].

True or false with full explanation


1
Expert's answer
2021-04-15T07:21:03-0400

The Heine–Cantor theorem states that continuous function on a closed interval is uniformly continuous.


"f(x)=\\frac{3x+1}{x^2+4}" is continuous on interval [-1, 3], so the function is uniformly continuous on this interval


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS