lim x rightarrow 2 x2-x-2 / 4x2 - 4 rightarrow (x-2)(x + 1) / 4(x 2-1) rightarro

Question

lim x rightarrow 2 x2-x-2 / 4x2 - 4 rightarrow (x-2)(x + 1) / 4(x 2-1) rightarrow lim x rightarrow (x-2)(x+1) / 4(x-1)(x+1) lim x rightarrow 2 (x-2) / 4(x-1) = 2 - 2 / 4(2-1) = 0 lim x rightarrow infinity 5x3 - 4 x + 7 / 4e2x -4x -1 = lim x rightarrow infinity15x2 - 4 / 80 2x - 4 lim x rightarrow infinity x2(15 - 4/x2) / 8e2x - 4 lim x rightarrow infinity 15 - 4/x2 / x2 [8e2x-4] = 15 - 0 / infinity = 0 lim x rightarrow 4 x3 - 64 / x2 - 4 = (x2 + 4x + 16) / (x + 4 = lim x rightarrow 4 x2 + 4x + 16 / x + 4 = 16 + 16 + 16 / 8 = 6

Explanation / Answer

All are correct.

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