Let f(x) = - 4x6 if x < 7 if x ≥ 7 I +4 Show that f(x) has a jump discontinuity at x = 7 by calculating the limits from the left and right at x = 7. lim f(x) = I→7- lim f(x) = I→7+

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.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
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Let f(x) =
-
4x6 if x < 7
if
x ≥ 7
I +4
Show that f(x) has a jump discontinuity at x = 7 by calculating the limits from the left and right at
x = 7.
lim f(x) =
I→7-
lim f(x) =
I→7+
Transcribed Image Text:Let f(x) = - 4x6 if x < 7 if x ≥ 7 I +4 Show that f(x) has a jump discontinuity at x = 7 by calculating the limits from the left and right at x = 7. lim f(x) = I→7- lim f(x) = I→7+
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