For f : N → N , f ( n ) = π 4 ∑ i = 1 n ∑ j = 1 n cot − 1 ( i / j ) . Classify f .

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MathematicsFunctionsTypes of Function (Mapping)Hard3 minQB

MathematicsHardsingle choice

For $f : N \to N, f (n) = \frac{4}{π} \sum_{i = 1}^{n} \sum_{j = 1}^{n} cot^{- 1} (i / j)$ . Classify $f$ .

Answer:

Solution:

Pairing off-diagonal terms gives $f (n) = n^{2}$ , so it is one-one into.

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Types of Function (Mapping)

⏱ 3mℹ️ Source: QB

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