Let f(x)= x x^ 2 , x>0 Let x 1 x 2 x 3 ..... x n f and y 1 y 2 y 3 y n f . Then which of…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
Let \(f(x)=\frac{\sin \pi x}{x^{2}}, x>0\)
Let x1 < x2 < x3 ..... < xn < .... be all points of local maximum of f and y1 < y2 < y3 < .... < yn < .... be all the points of local minimum of f.
Then which of the following options is/are correct?
Let x1 < x2 < x3 ..... < xn < .... be all points of local maximum of f and y1 < y2 < y3 < .... < yn < .... be all the points of local minimum of f.
Then which of the following options is/are correct?
- |xn – yn| > 1 for every n
- x1 < y1
- xn+1 – xn > 2 for every n
Answer
(C) x n +1 – x n > 2 for every n
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