Let a function \( f: N \rightarrow N \) be defined by \( f(n)=\left[\begin{array}{ll}2 n, & n=2,...

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Let f:N to N be defined by f(n) = {n+1/2 if n is odd; n/2 if n is even for all n.Is f bijective?CBSE

Let \(f:(-2,2) \rightarrow R\) be defined by\[f(x)=\left\{\begin{array}{cc}x[x] & ,-2

Let a function f∶N→N be defined byf(n)=[■(2n,&n=2,4,6,8,…@n-1,&n=3,7,11,15,…@(n+1)/2,&n=1,5,9,13,…)┤

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Check injectivity & subjectivity of functionsf:N to N f(x)=x²; f:Z to Z; f:R to R ;f:N to N f(x)=x³

Let f: (0,2)→R be defined as f(x) = log_2(1 + tan((πx)/4)). Then, lim_(n→∞) 2/n(f(1/n) + f(2/n) + .

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9.Let f: N  N be defined by f(n) = {█((n+1)/n,if n is odd @n/2,if n is even)┤ for all n ∈N.