If lim n → ∞ a n - 1 + n 2 1 + n = b , where a is finite number, then

Question

If lim n → ∞ a n - 1 + n 2 1 + n = b , where a is finite number, then, a = 2, a = 0, b = 1, b = - 1

MARKS App · Accepted Answer

lim n → ∞ an ( 1 + n ) - 1 + n 2 1 + n = lim n → ∞ ( a - 1 ) n 2 + a n - 1 n + 1 = ∞ , If a - 1 ≠ 0 limit does not exist and if a - 1 = 0 , then lim n → ∞ a n - 1 n + 1 = a = b ⇒ a = b = 1

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