A function f(x) is said to have a jump discontinuity at x = a jf: 1. lim f(x) exists. x → a- 2. lim f(x) exists. x→a+ 3. The left and right limits are not equal. 4x – 6 if x < 8 Let f(x) : if x > 8 x +8 8 by Show that f(x) has a jump discontinuity at x = calculating the limits from the left and right at x = 8. lim f(x) = lim f(x) = x →8+ Now for fun, try to graph f(x).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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A function f(x) is said to have a jump discontinuity
at x = a if:
1. lim
f(x) exists.
2. lim
f(x) exists.
x →a+
3. The left and right limits are not equal.
4х — 6 if х <8
Let f(x)
2
if x > 8
x +8
Show that f(x) has a jump discontinuity at a =
calculating the limits from the left and right at
= 8.
8 by
x =
lim
f(x)
x →8
lim
f(x) =
x →8+
Now for fun, try to graph f(x).
Transcribed Image Text:A function f(x) is said to have a jump discontinuity at x = a if: 1. lim f(x) exists. 2. lim f(x) exists. x →a+ 3. The left and right limits are not equal. 4х — 6 if х <8 Let f(x) 2 if x > 8 x +8 Show that f(x) has a jump discontinuity at a = calculating the limits from the left and right at = 8. 8 by x = lim f(x) x →8 lim f(x) = x →8+ Now for fun, try to graph f(x).
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