lim(sinx/x)^x^3,x趋于0时,求极限
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lim(sinx/x)^x^3,x趋于0时,求极限
lim(sinx/x)^x^3,x趋于0时,求极限
lim(sinx/x)^x^3,x趋于0时,求极限
L =lim(x->0)(sinx/x)^x^3
lnL = lim(x->0)ln(sinx/x) / (1/x^3) (0/0)
= lim(x->0)[(x/sinx)( xcosx -sinx)/x^2 ] / (-3/x^4)
= -lim(x->0)[(x^3/sinx)( xcosx -sinx) ] /3
=0
L = 1
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