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In this video we look at a function that has a discontinuity and we redefine it so that it is continuous at this discontinuity. I hope this ...

71. Show that the function f(x)={x^4 sin⁡(1/x)if x≠0, 0 if x=0) is continuous on (-∞,∞). Calculus: Early Transcendentals Chapter 2: ...

31. Explain, using Theorem's 4, 5, 7, 9, why the function is continuous at every number in its domain. State the domain.

72. (a) Show that the absolute value function F(x)=|x| is continuous everywhere. (b) Prove that if f is a continuous function on an ...

29. Explain, using Theorem's 4, 5, 7, 9, why the function is continuous at every number in its domain. State the domain.

28. Explain, using Theorem's 4, 5, 7, 9, why the function is continuous at every number in its domain. State the domain.

Hello everyone, this is the first of 3 videos that will fully and most of all very easily explain how to study a function to the point of ...

46. Find the values of a and b that make f continuous everywhere. F(x)={(x^2-4)/(x-2) if x⋖2, ax^2-bx+3 if 2≤x⋖3, 2x-a+b if x≥3 ...

We graph it, and discuss the continuity of the function using the definition of a continuous function and the graph of h(x).

Today, we continue to look at complicated limits and explore more ways to approach these special operations. More specifically ...

50. Suppose that a function f is continuous on [0,1] except at 0.25 and that f(0)=1 and f(1)=3. Let N=2. Sketch two possible graphs ...

Exam 3 Question 2.

... a discontinuity is removable if the hole can just be filled in to fix the situation and make the graph continuous this is also called a ...

3. (a) From the graph of f, state the numbers at which f is discontinuous and explain why. (b) For each of the numbers stated in part ...

To find the function f(x) we consider the equation f(2x)-f(x)=x, replace x with r,r/2,r/4,... we obtain several equation we add them up ...

At least to the best of my ability you have a continuous function f from RN to RM so between two ukian spaces and everything here ...

Long as the function is continuous where it exists then it can be continuous doesn't matter where whatever is not in the domain ...