JEE Advanced Mathematics question
For any real number , let = largest integer less than or equal to . Let be a real valued function defined on the interval by
f(x) =
Then the value of is
Answer: 4
Solution
On : ; on : ; on ( odd): . So on , repeated with period 2 — a triangular wave. *(Figure: zig-zag graph with value 1 at even integers and 0 at odd integers.)* Both and are even and have period 2, so
^{10
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