lim((1+x)^5-(1+5x))/(x^2+x^5) x趋向于0
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lim((1+x)^5-(1+5x))/(x^2+x^5) x趋向于0
![lim((1+x)^5-(1+5x))/(x^2+x^5) x趋向于0](/uploads/image/z/3430603-19-3.jpg?t=lim%28%281%2Bx%29%5E5-%281%2B5x%29%29%2F%28x%5E2%2Bx%5E5%29+x%E8%B6%8B%E5%90%91%E4%BA%8E0)
lim((1+x)^5-(1+5x))/(x^2+x^5)
=lim(x^5+5x^4+10x^3+10x^2)/(x^2+x^5)
=lim(10x^2)/(x^2)
=10
=lim(x^5+5x^4+10x^3+10x^2)/(x^2+x^5)
=lim(10x^2)/(x^2)
=10
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