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For each R t ∈ , let [t] be the greatest integer less than or equal to t. Then ] x 1 [ . | x 1 | ] x 1 [ 2 sin |) x 1 | sin | x | 1 ( lim 1 x − − ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − π − + − + →

1. equals –1
2. equals 1
3. equals 0
4. does not exist

Correct answer: equals 0

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