Find limx→0⌊x2sinxtanx⌋
where ⌊⋅⌋ is greatest integer function
I am a high school teacher. One of my students came up to ask this limit.
For ⌊sinxx⌋, I have used sinx>x using increasing decreasing functions.
I tried to prove x2>sinxtanx using increasing /decreasing
function but I am not getting it.
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