Find the limit at infinity? How do you do this? Show step by step
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Find the limit at infinity? How do you do this? Show step by step

[From: ] [author: ] [Date: 12-05-02] [Hit: ]
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lim x→∞ (1 + 5x - 3x³) / x³

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lim x→∞ (1 + 5x - 3x³) / x³

lim x→∞ x³(1/ x³ + 5/x^2 - 3) / x³ =>

lim x→∞ (1/ x³ + 5/x^2 - 3) =>

lim x→∞ (0 + 0 - 3) = -3

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Do the division getting:
lim x→∞ 1/x^3 + 5/x^2 - 3
The 1st 2 terms go to 0 leaving -3 as the limit
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