lim(1/(x^2-x))*sin(π/x)x趋向于0请详解
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lim(1/(x^2-x))*sin(π/x)x趋向于0请详解
lim(1/(x^2-x))*sin(π/x)x趋向于0
请详解
lim(1/(x^2-x))*sin(π/x)x趋向于0请详解
答:
(x→0)lim[sin(x/π)/(x^2-x)] 属于0-0型,应用洛必达法则:
=(x→0)lim[(1/π)cos(x/π)/(2x-1)]
=(1/π)*(cos0°)/(-1)
=-1/π
lim(x(sin)^2)
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