Question No: 4 Discuss the continuity of the following functions if not then give reason: • f(x) = |x| • g(x) = x - [x] for all x E R for all x E Z ifx # 0 • h(x) = 0) if x = 0

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Question No: 4
Discuss the continuity of the following functions if not then give reason:
• f(x) = |x|
• g(x) = x – [x]
|x|
• h(x) =
(0)
for all x E R
for all x E Z
ifx # 0
if x = 0
Transcribed Image Text:Question No: 4 Discuss the continuity of the following functions if not then give reason: • f(x) = |x| • g(x) = x – [x] |x| • h(x) = (0) for all x E R for all x E Z ifx # 0 if x = 0
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