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Find lim x->infinity [x]/tan x

Source: MTRP 2018 Class 11-Multiple Choice Question: Problem 2 :-

February 17, 2021
algebrafloor functionfunction

Problem Statement

limx0+[x]tanx\lim _{x \rightarrow 0^{+}} \frac{[x]}{\tan x} where [x][x] is the greatest integer function
[*] -1 [*] 0 [*] 1 [*] Does not exists