Question

Show that f: R -> R, f(x) = x^2 + 2x is not uniformly continuous on...

Show that f: R -> R, f(x) = x^2 + 2x is not uniformly continuous on R.

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Show that the function f(x) = x^2 + 2 is uniformly continuous on the interval [-1,...
Show that the function f(x) = x^2 + 2 is uniformly continuous on the interval [-1, 3].
Show that if f and g are uniformly continuous on some interval I then cf (for...
Show that if f and g are uniformly continuous on some interval I then cf (for all c ∈ R) and f − g are all uniformly continuous on I
We know that any continuous function f : [a, b] → R is uniformly continuous on...
We know that any continuous function f : [a, b] → R is uniformly continuous on the finite closed interval [a, b]. (i) What is the definition of f being uniformly continuous on its domain? (This definition is meaningful for functions f : J → R defined on any interval J ⊂ R.) (ii) Given a differentiable function f : R → R, prove that if the derivative f ′ is a bounded function on R, then f is uniformly...
Use an epsilon-delta argument to show f(x) = 2x^2 - 1 is continuous at every a...
Use an epsilon-delta argument to show f(x) = 2x^2 - 1 is continuous at every a ∈ ℝ.
Let f:Ω-->R^m be uniformly continuous on Ω⊂R^n. Show if (Ω) is bounded, then f(Ω) is bounded.
Let f:Ω-->R^m be uniformly continuous on Ω⊂R^n. Show if (Ω) is bounded, then f(Ω) is bounded.
Show that the function f(x)=x2sin(x) is uniformly continuous on [0,b] for any constant b>0, but that...
Show that the function f(x)=x2sin(x) is uniformly continuous on [0,b] for any constant b>0, but that is not uniformly continuous on [0,infinity)
Let f : R → R be a function satisfying |f(x) − f(y)| ≤ 3|x −...
Let f : R → R be a function satisfying |f(x) − f(y)| ≤ 3|x − y|^{1/2} for all x, y ∈ R. Apply E − δ definition to show that f is uniformly continuous in R.
A function f : A −→ R is uniformly continuous and its domain A ⊂ R...
A function f : A −→ R is uniformly continuous and its domain A ⊂ R is bounded. Prove that f is a bounded function. Can this conclusion hold if we replace the "uniform continuity" by just "continuity"?
show 1/(x^1/2) is not uniformly continuous on the interval (0,1).
show 1/(x^1/2) is not uniformly continuous on the interval (0,1).
prove that these functions are uniformly continuous on (0,1): 1. f(x)=sinx/x 2. f(x)=x^2logx
prove that these functions are uniformly continuous on (0,1): 1. f(x)=sinx/x 2. f(x)=x^2logx
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT