Problem 1. Recall that a function f is continuous at a point a e R if the following holds:Ve > 0 36 > 0 Vr ER (|r – a| < 8 = [f(x) – f(a)| < E).Consider the function defined bySo, if z<1f(r) =| 1, if x > 1.Prove that this function is not continuous at 1.

Answered: Image /qna-images/answer/4eae9ebe-1fc4-48a9-892b-56c57072e509.jpg

Problem 1. Recall that a function f is continuous at a point a e R if the following holds: Ve >0 38 > 0 Vr E R (|r – al < 8 = \f(x) – f(a)|I < e). Consider the function defined by 0, if z <1 | 1, if z > 1. f(r) = %3D Prove that this function is not continuous at 1.

Problem 1. Recall that a function f is continuous at a point a e R if the following holds: Ve >0 38 > 0 Vr E R (|r – al < 8 = \f(x) – f(a)|I < e). Consider the function defined by 0, if z <1 | 1, if z > 1. f(r) = %3D Prove that this function is not continuous at 1.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.CR: Chapter 4 Review

Problem 6CR: Determine whether each of the following statements is true or false, and explain why. The only...

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Problem 1. Recall that a function f is continuous at a point a e R if the following holds:
Ve > 0 36 > 0 Vr ER (|r – a| < 8 = [f(x) – f(a)| < E).
Consider the function defined by
So, if z<1
f(r) =
| 1, if x > 1.
Prove that this function is not continuous at 1.

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