If a function f satisfies f(m+n)=f(m)+f(n) for all {\m}, {\n} \in {\N} and {\f}(1)=1, then the largest natural number \lambda such that \sum_{{ {\k}=1}}^{{2022}} {\f}(\lambda+ {\k}) \leq(2022)^2 is equal to ______. [9 Apr 2024 Shift 1]

JEE Main 9 Apr 2024 Shift 1 Solved Paper

Section: Mathematics

Question : 29 of 90

Marks: +1, -0

If a function f satisfies f(m+n)=f(m)+f(n) for all m,n∈N and f(1)=1, then the largest natural number λ such that

2022

∑

k=1

f(λ+k)≤(2022)2 is equal to ______.

[9 Apr 2024 Shift 1]

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