4.2x +25.8 if x <-4 √x+85 if x > -4 if x = -4 Let f(x)=√x+85 -2 Determine which one of the following rules for continuity is violated at x = -4. Olim f(x) exists. x-a Of(a) is defined. Olim f(x) = f(a). HIP O None of the above; the function is continuous at x = -4.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let f(x)=
=
4.2x+25.8 if x < -4
x+85
if x>-4
if x = -4
-2
Determine which one of the following rules for continuity is violated at x = -4.
lim f(x) exists.
x-a
f(a) is defined.
lim_ f(x) = f(a).
x→a
None of the above; the function is continuous at x = -4.
Transcribed Image Text:Let f(x)= = 4.2x+25.8 if x < -4 x+85 if x>-4 if x = -4 -2 Determine which one of the following rules for continuity is violated at x = -4. lim f(x) exists. x-a f(a) is defined. lim_ f(x) = f(a). x→a None of the above; the function is continuous at x = -4.
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