Mathematics · 2023
JEE Main · 6 April 2023, Shift 2 · Q26
Let f(x)=x/((1+x^n)^(1/n)), x ∈ R -{-1}, n ∈ N, n>2. If f^n(x)= (fofof.... upto n times) (x), then lim_n → ∞ ∫_0^1 x^n-2(f^n(x)) d x is equal to ____.
Let $\displaystyle f(x)=\frac{x}{\left(1+x^n\right)^{\frac{1}{n}}}, x \in \mathbb{R}-\{-1\}, n \in \mathbb{N}, n>2$.
If $\displaystyle f^n(x)=$ (fofof.... upto $\displaystyle n$ times) $\displaystyle (x)$, then $\displaystyle \lim _{n \rightarrow \infty} \int_0^1 x^{n-2}\left(f^n(x)\right) d x$ is equal to
$\displaystyle \_\_\_\_$.
Official answer
From NTA’s final answer key for this paper.
0
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.