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