If lim x → ∞ ⁡ 1 + a x - 4 x 2 2 x = e 3 , then a is equal to

Question

If lim x → ∞ ⁡ 1 + a x - 4 x 2 2 x = e 3 , then a is equal to, 2, 3 2, 1 2, 2 3

MARKS App · Accepted Answer

lim x → ∞ 1 + a x - 4 x 2 2 x ( 1 ∞ form ) = e lim x → ∞ ⁡ 1 + a x - 4 x 2 - 1 2 x = e lim x → ∞ ⁡ 2 a - 8 x = e 2 a ∴ e 2 a = e 3 ⇒ 2 a = 3 ⇒ a = 3 2

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