求极限,第五题以后的,求帮忙
1个回答
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(6) lim(x->0) sin4x/sin2x =lim(x->0) 4x/(2x) = 2
(7) lim(x->0) x^2/sin(x/2)^2 =lim(x->0) x^2/(x/2)^2 = 4
(8) lim(x->∞) (1+1/x)^(3x) =[lim(x->∞) (1+1/x)^x]^3 = e^3
(9) lim(x->∞) ( 1+ 1/x)(2 - 1/x^2)=(1+0)(2-0)=2
(10)
lim(x->∞) (4x^3+5x-1)/(2x^3+2x^2+x)
=lim(x->∞) (4+5/x^2-1/x^3)/(2+2/x+1/x^2)
=4/2
=2
(11)
lim(x->1)log(2-x)
=log(2-1)
=log1
=0
(7) lim(x->0) x^2/sin(x/2)^2 =lim(x->0) x^2/(x/2)^2 = 4
(8) lim(x->∞) (1+1/x)^(3x) =[lim(x->∞) (1+1/x)^x]^3 = e^3
(9) lim(x->∞) ( 1+ 1/x)(2 - 1/x^2)=(1+0)(2-0)=2
(10)
lim(x->∞) (4x^3+5x-1)/(2x^3+2x^2+x)
=lim(x->∞) (4+5/x^2-1/x^3)/(2+2/x+1/x^2)
=4/2
=2
(11)
lim(x->1)log(2-x)
=log(2-1)
=log1
=0
追问
谢谢谢哇
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