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. 3. The left and right limits are not equal. 3x 3 if r < 10 Let f(x) 3 if r > 10 I+9 Show that f(x) has a jump discontinuity at z = 10 by calculating the limits from the left and right at 10. lim f(x) = I+ 10 lim f(x) = I- 10+ Now for fun, try to graph f(x).
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. 3. The left and right limits are not equal. 3x 3 if r < 10 Let f(x) 3 if r > 10 I+9 Show that f(x) has a jump discontinuity at z = 10 by calculating the limits from the left and right at 10. lim f(x) = I+ 10 lim f(x) = I- 10+ Now for fun, try to graph f(x).
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:A function f(x) is said to have a jump discontinuity at a = a if:
1. lim
f(x) exists.
2. lim
f(x) exists.
3. The left and right limits are not equal.
3x – 3 if r < 10
Let f(x)
3
if r > 10
I+9
Show that f(x) has a jump discontinuity at r = 10 by calculating the limits from the left and right at
10.
lim
f(x) =
I+ 10
lim
f(x) =
I+ 10+
Now for fun, try to graph f(x).
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