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Question: If m, n ∈ I<sub>0</sub> and \(f\left\lbrack \frac{2x}{1 + x^{2}} \right\rbrack\lbrack f(x)\rbrack^{2...

If m, n ∈ I0 and f[2x1+x2][f(x)]2f\left\lbrack \frac{2x}{1 + x^{2}} \right\rbrack\lbrack f(x)\rbrack^{2}= some integer then value of this limit is

A

3

B

2

C

[f(x)]3\lbrack f(x)\rbrack^{3}

D

None of these

Answer

3

Explanation

Solution

limx0\lim _ { x \rightarrow 0 }= I

limx0\lim _ { x \rightarrow 0 }= I

limx0\lim _ { x \rightarrow 0 }= I

⇒ n = 2 and value = = 3