Sunday, 21 July 2019

calculus - Calculating limxto0leftlfloorfracx2sinxtanxrightrfloor


Find limx0x2sinxtanx

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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