Is the given statement true or false? Justify your answer. 'If f is continuous, decreasing function on [1, o0) and lim f(x) = 0, then f(x) dx is convergent.'

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Is the given statement true or false? Justify your answer.
"If f is continuous, decreasing function on [1, 0) and lim f(x)= 0, then J f(x) dx is convergent."
Transcribed Image Text:Is the given statement true or false? Justify your answer. "If f is continuous, decreasing function on [1, 0) and lim f(x)= 0, then J f(x) dx is convergent."
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