KVPY SX SB Exam 20141 Question Paper

Question : 10 of 120

Marks: +1, -0

For a real number x let [x] denote the largest number less than or equal to x . For x ∊ R let

f ( x ) = [x] \sin π x

. Then

Solution:

f (x) = [x] sin πx

Not diff for ∀ x ∈ R.
Not sym about x = 0.

∫ ↖{3} ↙{{-3}} f(x )dx ≠ 0

f (x) = α will have ∞ sol

^{n}

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