# Simplify

**Algebra**Level 4

\(\large[X]+\displaystyle \sum_{i=1}^ {1000}\frac{\{X+i\}}{1000}\)

Assumptions:

\( \left [ A \right ] \)=the greatest integer function of \(A\)

\( \{ A \} \)=the fractional part of \(A\)

\(\large[X]+\displaystyle \sum_{i=1}^ {1000}\frac{\{X+i\}}{1000}\)

Assumptions:

\( \left [ A \right ] \)=the greatest integer function of \(A\)

\( \{ A \} \)=the fractional part of \(A\)

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