函数极限L I M( tanx-sinx)÷x的三次方 x → 0 (当x趋向于零时 x三次方分之tanx减去sanx的极限是什么)
人气:112 ℃ 时间:2020-02-04 13:42:42
解答
L I M x → 0 ( tanx-sinx)/x^3 =L I M x → 0 [tanx*(1-cosx)]/x^3 =L I M x → 0 [tanx*(1-cosx)]/x^3 由洛必达法则: L I M x → 0时 tanx~x L I M x → 0时1-cosx~1/2*x^2 所以, L I M x → 0 [x*(1/2*x^2)]/x^3 =L I M x → 0 (1/2*x^3)/x^3 =1/2