Limit (tan x -sin x) /x^3 as x-->0

Answers (1)

Solution:   

         lim_x	o 0 frac	an x -sin xx^3\ \ Rightarrow hspace1cmlim_x	o 0fracsin x(1-cos x)cos xcdot x^3\ \ Rightarrow hspace1cmlim_x	o 0frac1cos xcdot fracsin xxcdot frac1-cos xx^2=frac12

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