Question

Give an example or explain why the request is impossible. A function f(x) that is continuous...

Give an example or explain why the request is impossible.

A function f(x) that is continuous at 0 and g(x) that is not continuous at 0 such that f(x) - g(x) is continuous at 0.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
give an example of a continuous and differentiable function at a point x = a, with...
give an example of a continuous and differentiable function at a point x = a, with a null derivative at this point, f '(a) = 0, and that f has neither a maximum nor a minimum at x = a
Give an example of each of the following or argue that such a request is impossible...
Give an example of each of the following or argue that such a request is impossible a) a cauchy sequence that is monotone b) a monotone sequence that is not cauchy c) a cauchy sequence with a convergent subsequence d) an unbounded sequence containing a subsequence that is cauchy
Continuity, differentiability questions: • Give an example of a function f: R → R that is...
Continuity, differentiability questions: • Give an example of a function f: R → R that is continuous everywhere on its domain but has at least one point at which it is not differentiable. • Give an example of a function f: R → R that is not continuous at 0.
Prove or give a counter example: If f is continuous on R and differentiable on R...
Prove or give a counter example: If f is continuous on R and differentiable on R ∖ { 0 } with lim x → 0 f ′ ( x ) = L , then f is differentiable on R .
Is the function continuous on (-infinity, infinity)? Explain. f(x) = cos x; if x<0 0; if...
Is the function continuous on (-infinity, infinity)? Explain. f(x) = cos x; if x<0 0; if x= 0 1-x^2 ; if x>0
A function f is said to be continuous on the _______ at x = c if...
A function f is said to be continuous on the _______ at x = c if lim x → c + f ( x ) = f ( c ). A function f is said to be continuous on the _______ at x = c if lim x → c − f ( x ) = f ( c ). A real number x is a _______ number for a function f if f is discontinuous at x or f...
Explain why the following statements are true or false. a) If f(x) is continuous at x...
Explain why the following statements are true or false. a) If f(x) is continuous at x = a, then lim x → a f ( x ) must exist. b) If lim x → a f ( x ) exists, then f(x) must be continuous at x = a. c) If lim x → ∞ f ( x ) = ∞ and lim x → ∞ g ( x ) = ∞ , then lim x → ∞ [ f...
Is the function f(x,y)=x−yx+y continuous at the point (−1,−1)? If not, why is the function not...
Is the function f(x,y)=x−yx+y continuous at the point (−1,−1)? If not, why is the function not continuous? Select the correct answer below: A. Yes B. No, because lim(x,y)→(−1,1)x−yx+y=−1 and f(0,0)=0. C. No, because lim(x,y)→(−1,1)x−yx+y does not exist and f(0,0) does not exist. D. No, because lim(x,y)→(0,0)x2−y2x2+y2=1 and f(0,0)=0.
Prove that if f(x) is a continuous function and f(x) is not zero then g(x) =...
Prove that if f(x) is a continuous function and f(x) is not zero then g(x) = 1/f(x) is a continuous function.   Use the epsilon-delta definition of continuity and please overexplain and check your work before answering.
let F : R to R be a continuous function a) prove that the set {x...
let F : R to R be a continuous function a) prove that the set {x in R:, f(x)>4} is open b) prove the set {f(x), 1<x<=5} is connected c) give an example of a function F that {x in r, f(x)>4} is disconnected
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT