Bounds

Calculus Level 2

What is the least upper bound of { x } \{ x \} ?

Notation : { } \{ \cdot \} denotes the fractional part function .

0 0.5 Does not exist 1 2

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1 solution

Prince Loomba
May 17, 2016

Although {x} never reaches 1 but it can be represented as 1 \leq 1 and 1 would be such the minimum real number and hence LUB=1

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