3. Prove that if m is a positive integer and x is a real number, then 1 2 m 1 [mx] = [x] + \x + = | + | x + ² | +---++- m m m

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3.
Prove that if m is a positive integer and x is a real number, then
[ma] = [x] + x +
1
+ x +
2
+...+
т — 1
x +
m
m
m
Transcribed Image Text:3. Prove that if m is a positive integer and x is a real number, then [ma] = [x] + x + 1 + x + 2 +...+ т — 1 x + m m m
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