求lim(x~无限大)(sin(x^(2)+5)/x^2)

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求lim(x~无限大)(sin(x^(2)+5)/x^2)求lim(x~无限大)(sin(x^(2)+5)/x^2)求lim(x~无限大)(sin(x^(2)+5)/x^2)lim(x→∞)(sin(

求lim(x~无限大)(sin(x^(2)+5)/x^2)
求lim(x~无限大)(sin(x^(2)+5)/x^2)

求lim(x~无限大)(sin(x^(2)+5)/x^2)
lim(x→∞)(sin(x^2+5)/x^2)
=0
注意这里|sin(x^2+5)|≤1,lim(x→∞)1/x^2=0,
一个数和无穷小相乘还是无穷小

分子小于1,分母趋于无穷大,极限为0

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