lim(x→0)根号(1+x^3)-1/1-cos根号(x-sinx)

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lim(x→0)根号(1+x^3)-1/1-cos根号(x-sinx)

lim(x→0)根号(1+x^3)-1/1-cos根号(x-sinx)
lim(x→0)根号(1+x^3)-1/1-cos根号(x-sinx)

lim(x→0)根号(1+x^3)-1/1-cos根号(x-sinx)
lim(x→0)[√(1+x³)-1]/[1-cos√(x-sinx)]
=lim(x→0)(x³/2)/[(x-sinx)/2]
=lim(x→0) x³/(x-sinx)
=lim(x→0) 2x²/(1-cosx)
=lim(x→0) 2x²/(x²/2)
=4
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