For function f (x) = xcos 1/x , x ≥ 1, [JEE Adv 2009 P2]

for at least one x in interval [1, ∞), f(x + 2) – f(x) < 2.

for all x in the interval [1, ∞), f(x + 2) – f(x) > 2.

f′(x) is strictly decreasing in the interval [1, ∞).

Application of Derivatives

Section: Mathematics

Question : 30 of 32

Marks: +1, -0

For function f (x) = xcos

, x ≥ 1,

[JEE Adv 2009 P2]

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