lim(n→∞)3n^2+5n-7/4-n^2的值是
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lim(n→∞)3n^2+5n-7/4-n^2的值是
lim(n→∞)3n^2+5n-7/4-n^2的值是
lim(n→∞)3n^2+5n-7/4-n^2的值是
lim(n→∞)3n^2+5n-7/4-n^2
=lim(n→∞)3+ 5/n-7/n² / 4/n² -1
所以趋近于0的式子去掉
=3/ (-1)
= -3
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lim(n→∞)(3n^2+5n-7)/(4-n^2)
=lim(n→∞)(3+5/n-7/n^2)/(4/n^2-1) (同除n^2)
考察y=1/x^2和y=1/x,当x→∞时,y→0,因此:
lim(n→∞)(3n^2+5n-7)/(4-n^2)
=lim(n→∞)(3+5/n-7/n^2)/(4/n^2-1)
=3/-1
=-3
-3
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