作业帮求极限,lim x→0 sin(x-2)÷x平方-4 lim x→正无穷(1+1÷3x) limx→...
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求极限,lim x→0 sin(x-2)÷x平方-4 lim x→正无穷(1+1÷3x) limx→...
求极限,lim x→0 sin(x-2)÷x平方-4 lim x→正无穷(1+1÷3x) limx→正无穷(1-2x)x分之一次方
求极限,lim x→0 sin(x-2)÷x平方-4 lim x→正无穷(1+1÷3x) limx→正无穷(1-2x)x分之一次方
lim(x→0) sin(x - 2)/(x² - 4)
= lim(x→0) sin(x - 2)/[(x - 2)(x + 2)]
= lim(x→0) sin(x - 2)/(x - 2) • lim(x→0) 1/(x + 2)
= 1 • 1/(0 + 2)
= 1/2
lim(x→+∞) [1 + 1/(3x)]
= 1 + lim(x→+∞) 1/(3x)
= 1 + 0
= 1
lim(x→+∞) (1 - 2x)^(1/x),知道公式lim(x→+∞) (1 + x)^(1/x) = 1
= lim(x→+∞) [1 + (-2x)]^[1/(-2x) • -2]
= { lim(x→+∞) [1 + (-2x)]^[1/(-2x)] }^(-2)
= (1)^lim(x→+∞) (-2)
= 1
= lim(x→0) sin(x - 2)/[(x - 2)(x + 2)]
= lim(x→0) sin(x - 2)/(x - 2) • lim(x→0) 1/(x + 2)
= 1 • 1/(0 + 2)
= 1/2
lim(x→+∞) [1 + 1/(3x)]
= 1 + lim(x→+∞) 1/(3x)
= 1 + 0
= 1
lim(x→+∞) (1 - 2x)^(1/x),知道公式lim(x→+∞) (1 + x)^(1/x) = 1
= lim(x→+∞) [1 + (-2x)]^[1/(-2x) • -2]
= { lim(x→+∞) [1 + (-2x)]^[1/(-2x)] }^(-2)
= (1)^lim(x→+∞) (-2)
= 1
求极限,lim x→0 sin(x-2)÷x平方-4 lim x→正无穷(1+1÷3x) limx→...
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