lim x趋向0 (1+cos^2(1/x))^x

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lim 1-cos5x/x^2 x趋向0
lim(1-(cosx)^(1/2))/(x(1-cos(x)^(1/2)) x趋向0
lim(x趋向0)(1-cos2x)/xsinx怎么解?
lim x趋向0 [x(1-cos2x)]/(5x-sin5x)?
(1)lim(x趋向0)[(1+x)^0.5+(1-x)^0.5-2]/x^2 (2)lim(n趋向无穷)sin[[(n
1、lim(tanx-sinx)/x的立方.x趋向0,2、lim{(2-x)/2}的2/x-1次方.x趋向0,3、lim
为什么 lim(x趋向于0）(In(1+x)/x)=lim(x趋向于0）In(1+x)^(1/x)
lim(1-2x)^1/x x趋向于0
lim((1+x)^1/2-(1-x)^1/2)/x(x趋向0)
lim(x趋向0)((sinx/x)+1)=2?