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mschaminajulia
@mschaminajulia
September 2021
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lim x^4/x^3-1
x->1
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kirichekov
Verified answer
Правило Лопиталя:
lim(x⁴/(x³-1)= [1/0 ] =(правило Лопиталя)=lim((x⁴)'/(x³-1)')=lim(4x³/3x²)=
x->1 x->1 x->1
(4*1³)/(3*1²)=
4/3
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Answers & Comments
Verified answer
Правило Лопиталя:lim(x⁴/(x³-1)= [1/0 ] =(правило Лопиталя)=lim((x⁴)'/(x³-1)')=lim(4x³/3x²)=
x->1 x->1 x->1
(4*1³)/(3*1²)=4/3