5. For the function whose graph is X left limit exists right limit exists limit exists determine the validity of the following assertions: a= 2 3 discontinuity is removable ✓ f(x) is left continuous f(x) is right continuous f(x) is continuous 4 3-1 1 2 3 4 5 Answer with a checkmark in the appropriate box. For a given value of a there may be several assertions that are true; mark them all.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Problem 4 Practice
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Problem 4 Practice
5. For the function whose graph is
U
-1
left limit exists
right limit exists
limit exists
determine the validity of the following assertions:
a =
T
discontinuity is removable
f(x) is left continuous
f(x) is right continuous
f(x) is continuous
2
3
1
-3-1 1 2
✓
V
✓
✓
3
4
сл
5
3
Answer with a checkmark in the appropriate box. For a given value of a
there may be several assertions that are true; mark them all.
calculus_cheat_sheet
Transcribed Image Text:Problem 4 Practice ★ Problem 4 Practice 5. For the function whose graph is U -1 left limit exists right limit exists limit exists determine the validity of the following assertions: a = T discontinuity is removable f(x) is left continuous f(x) is right continuous f(x) is continuous 2 3 1 -3-1 1 2 ✓ V ✓ ✓ 3 4 сл 5 3 Answer with a checkmark in the appropriate box. For a given value of a there may be several assertions that are true; mark them all. calculus_cheat_sheet
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  1. The left limit of the function is the value of the function when x approaches to a from left side.
  2. The right limit of the function is the value of the function when x approaches to a from right side.
  3. If both left limit and right hand exists and equal then limit at a exists.
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