Form 4 M2 Limits

2011-07-20 4:38 am
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可唔可以教我計一計?上面那題答案係 -9 但我計黎計去都係9

下面那題我rationalize 之後,個分母最終都係 0 。可唔可幫下我。
更新1:

仲有上面那題中 個infinity 係正係負其實都係咪一樣咁計?

回答 (1)

2011-07-20 5:02 am
✔ 最佳答案
5 lim(x-> -infinity) (9x - 4)/√(x^2 + 5x + 3)

= lim(x-> -infinity) (9 - 4/x)/√(1 + 5/x + 3/x^2)

= 9/(-1)

= -9

17 lim(x-> infinity) √(4x^2 - x) + 2x

= lim(x-> infinity) -x /[√(4x^2 - x) - 2x]

= lim(x-> infinity) -1 /[√(4 - 1/x) - 2]

= 1/4





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