lim【x→∞】(【根号】x^2+x+1【根号结束】+x)求助~
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lim【x→∞】(【根号】x^2+x+1【根号结束】+x)求助~
![lim【x→∞】(【根号】x^2+x+1【根号结束】+x)求助~](/uploads/image/z/19345352-32-2.jpg?t=lim%E3%80%90x%E2%86%92%E2%88%9E%E3%80%91%EF%BC%88%E3%80%90%E6%A0%B9%E5%8F%B7%E3%80%91x%5E2%2Bx%2B1%E3%80%90%E6%A0%B9%E5%8F%B7%E7%BB%93%E6%9D%9F%E3%80%91%2Bx%EF%BC%89%E6%B1%82%E5%8A%A9%7E)
lim【x→∞】(【根号】x^2+x+1【根号结束】+x)
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lim【x→∞】(【根号】x^2+x+1【根号结束】+x)(【根号】x^2+x+1【根号结束】-x)/(【根号】x^2+x+1【根号结束】-x)
=lim【x→∞】(x²+x+1-x²)/(【根号】x^2+x+1【根号结束】-x)
=lim【x→∞】(x+1)/(【根号】x^2+x+1【根号结束】-x)
这题目有问题,如果x->-∞ ,结果=-1/2
如果是+∞,结果=+∞
极限不存在.
=
lim【x→∞】(【根号】x^2+x+1【根号结束】+x)(【根号】x^2+x+1【根号结束】-x)/(【根号】x^2+x+1【根号结束】-x)
=lim【x→∞】(x²+x+1-x²)/(【根号】x^2+x+1【根号结束】-x)
=lim【x→∞】(x+1)/(【根号】x^2+x+1【根号结束】-x)
这题目有问题,如果x->-∞ ,结果=-1/2
如果是+∞,结果=+∞
极限不存在.
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