Find each x-value at which f is discontinuous and for each x-value, determine whether f is continuous from the right, or from the left, or neither f(x) = (a) smaller value X = x + 2 1/x √x-3 (b) larger value X = if x ≤ 1 if 1 < x < 3 if x ≥ 3 continuous from the right O continuous from the left O neither continuous from the right continuous from the left neither

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.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 12CR: Determine whether each of the following statements is true or false and explain why. The derivative...
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Find each x-value at which f is discontinuous and for each x-value, determine whether f is continuous from the right, or from the left, or neither.
(b)
(a) smaller value
X =
f(x)
=
X =
larger value
x + 2
1/x
x - 3
if x ≤ 1
if 1 < x < 3
if x ≥ 3
continuous from the right
continuous from the left
neither
continuous from the right
continuous from the left
neither
Transcribed Image Text:Find each x-value at which f is discontinuous and for each x-value, determine whether f is continuous from the right, or from the left, or neither. (b) (a) smaller value X = f(x) = X = larger value x + 2 1/x x - 3 if x ≤ 1 if 1 < x < 3 if x ≥ 3 continuous from the right continuous from the left neither continuous from the right continuous from the left neither
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