Let a be an integer such that lim x → 7 18 - 1 - x x - 3 a exists, where t is greatest integer ≤ t . Then a is equal to

Question

Let a be an integer such that lim x → 7 18 - 1 - x x - 3 a exists, where t is greatest integer ≤ t . Then a is equal to, - 2, 6, - 6, - 7

MARKS App · Accepted Answer

Since lim x → 7 18 - 1 - x x - 3 a exists a ∈ 𝕀 ∴ L . H . L = R . H . L ⇒ lim h → 0 18 - - 6 7 - h - 3 a = lim h → 0 18 - - 7 7 + h - 3 a ⇒ lim h → 0 24 7 - 3 a + - h = lim h → 0 25 7 - 3 a + h ⇒ 24 6 - 3 a = 25 7 - 3 a ⇒ a = - 6

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