Consider the following function. =√x-5 f(x): Find each value. (If an answer does not exist, enter DNE.) f(2) lim f(x) x-2- lim, f(x) x+2+ = = if x ≤ 2 6x-9 if x > 2 = Determine whether the function is continuous or discontinuous at x = 2. Examine the three conditions in the definition of continuity. O The function is continuous at x = 2. The function is discontinuous at x = 2.
Consider the following function. =√x-5 f(x): Find each value. (If an answer does not exist, enter DNE.) f(2) lim f(x) x-2- lim, f(x) x+2+ = = if x ≤ 2 6x-9 if x > 2 = Determine whether the function is continuous or discontinuous at x = 2. Examine the three conditions in the definition of continuity. O The function is continuous at x = 2. The function is discontinuous at x = 2.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider the following function.
=√x-5
f(x):
Find each value. (If an answer does not exist, enter DNE.)
f(2)
lim f(x)
x-2-
lim, f(x)
x+2+
=
=
if x ≤ 2
6x-9 if x > 2
=
Determine whether the function is continuous or discontinuous at x = 2. Examine the three conditions in the definition of continuity.
O The function is continuous at x = 2.
The function is discontinuous at x = 2.
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