Question

Apply ε − δ definition to show that f (x) = 1/x^2 is continuous in (0,  ∞).

Apply ε − δ definition to show that f (x) = 1/x^2 is continuous in (0,  ∞).

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
Use the ε-δ-definition of continuity to show that if f, g : D → R are...
Use the ε-δ-definition of continuity to show that if f, g : D → R are continuous then h(x) := f(x)g(x) is continuous in D.
Use ε − δ definition to prove that the function f (x) = 2x/3x^2 - 2...
Use ε − δ definition to prove that the function f (x) = 2x/3x^2 - 2 is continuous at the point p = 1.
Use the ε − δ definition to show that limz→1 z+1/z−i = 2/1−i .
Use the ε − δ definition to show that limz→1 z+1/z−i = 2/1−i .
hi guys , using this definition for limits in higher dimensions : lim (x,y)→(a,b) f(x, y)...
hi guys , using this definition for limits in higher dimensions : lim (x,y)→(a,b) f(x, y) = L if 1. ∃r > 0 s.th. f(x, y) is defined when 0 < || (x, y) − (a, b) || < r and 2. given ε > 0 we can find δ > 0 s.th. 0 < || (x, y) − (a, b) || < δ =⇒ | f(x, y) − L | < ε how do i show that this is...
Problem 5. Let f be absolutely continuous in the interval [ε, 1] for each 0 <...
Problem 5. Let f be absolutely continuous in the interval [ε, 1] for each 0 < ε < 1. Does the continuity off f at 0 imply that f is absolutely continuous on [0, 1] ? What if f is also of bounded variation on [0, 1]?
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.
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].
Let f : [0, 1] → R be continuous with [0, 1] ⊆ f([0, 1]). Show...
Let f : [0, 1] → R be continuous with [0, 1] ⊆ f([0, 1]). Show that there is a c ∈ [0, 1] such that f(c) = c.
4a). Let g be continuous at x = 0. Show that f(x) = xg(x) is differentiable...
4a). Let g be continuous at x = 0. Show that f(x) = xg(x) is differentiable at x = 0 and f'(0) = g(0). 4b). Let f : (a,b) to R and p in (a,b). You may assume that f is differentiable on (a,b) and f ' is continuous at p. Show that f'(p) > 0 then there is delta > 0, such that f is strictly increasing on D(p,delta). Conclude that on D(p,delta) the function f has a differentiable...
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)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT