sin(-x)/1-根号下1-x,求极限,

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sin(-x)/1-根号下1-x,求极限,
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sin(-x)/1-根号下1-x,求极限,
sin(-x)/1-根号下1-x,求极限,

sin(-x)/1-根号下1-x,求极限,

定义域 1≥x,只能是(x→0)

limsin(-x)/[1-√(1-x) ] (x→0)
=limsin(-x)[1-√(1-x)]/x (x→0)
=lim[sin(-x)/x][1-√(1-x)] (x→0)

=lim[-sinx/x]*lim[1-√(1-x)] (x→0) lim[-sinx/x]→1
=lim[1-√(1-x)] (x→0)
=0