2.6.5-eg - β†’-∞ 3-2 x-8 x 3 3 x 4 2 x 4 x 1 = lim x...

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Example Evaluate: lim x →-∞ 3 - 2 x - 8 x 3 + 3 x 4 2 x 4 + x + 1 Solution: To evaluate the limit of a function f ( x ) as x → ±∞ , the usual approach is to divide numerator and denominator by the largest power of x . In this case,
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Unformatted text preview: β†’-∞ 3-2 x-8 x 3 + 3 x 4 2 x 4 + x + 1 = lim x β†’-∞ 3-2 x-8 x 3 + 3 x 4 2 x 4 + x + 1 Β· x-4 x-4 = lim x β†’-∞ 3 x-4-2 x-3-8 x-1 + 3 2 + x-3 + x-4 = 3 2 ....
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