若lim x趋向0,（xcosα-sinα）/2x^3拆成(xcosα/2x^3)-(sinα/2x^3)那分子能用无穷小量代换了吗?按理说加减不能替换,貌似拆成这样也不能替换,困扰我好久了

lim(x趋向0)xcos(1/x)怎么计算 若lim x趋向0,（xcosα-sinα）/2x^3拆成(xcosα/2x^3)-(sinα/2x^3)那分子能用无穷小量代换了吗?按理说加减不能替换,貌似拆成这样也不能替换,困扰我好久了 lim xcos(1+X^2)/sinx x趋向于0 求极限 lim(x趋于0)(x^2-sin^2xcos^2x)/((x^2)sin^2x) lim(x趋向0)ln(1+sin x)/x^2 lim(x趋向0) x^2 / (sin^2) * x/3 lim(x趋向0) x^2 / (sin^2) * x/3 lim (x趋向于0) sin(sinx)/x lim (x趋向于0)sin(sinx)/sinx lim[sin(xy)/xy],x趋向2,y趋向0,求极限 x趋向0 lim xcotx lim趋向1 sin(x^2-1)/x-1lim趋向无穷大(1-3/x)^2xlim趋向0 sin5x/tan3x 求解当x趋向0时lim[sin(2^x)ln(x+1)]/(2^x-1) lim(1/（x^2-x)）*sin(π/x）x趋向于0请详解 lim(x^2+y^2)sin(1/(x^2+y^2))X趋向0，Y趋向0 求此极限 求极限lim(x趋向于0)ln(1+x^2)/sin(1+x^2) lim(x趋向于0）(1+sinx-cosx)/(1+sinβx-cosβx) lim x趋向于0 分母为sin^2 (x/5) 分子为x^2