LIM(X→0)(x-tanx)/(x-sinx) 等于多少

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LIM(X→0)(x-tanx)/(x-sinx)等于多少LIM(X→0)(x-tanx)/(x-sinx)等于多少LIM(X→0)(x-tanx)/(x-sinx)等于多少0/0型,且满足罗比达法则

LIM(X→0)(x-tanx)/(x-sinx) 等于多少
LIM(X→0)(x-tanx)/(x-sinx) 等于多少

LIM(X→0)(x-tanx)/(x-sinx) 等于多少
0/0型,且满足罗比达法则的条件
LIM(X→0)(x-tanx)/(x-sinx) =LIM(X→0)(1-1/(cosx)^2)/(1-cosx)
=LIM(X→0)((cosx)^2-1)/[(1-cosx)(cosx)^2] = - LIM(X→0)(cosx+1)/(cosx)^2 = - 2