lim x → ∞ x 2 + a x + b - x a 0 b

Question

lim x → ∞ x 2 + a x + b - x a 0 b, depends on both a and b, depends only on b, depends only on a, does not depend on a and b

MARKS App · Accepted Answer

lim x → ∞ x 2 + a x + b - x = lim x → ∞ x 2 + a x + b - x × x 2 + a x + b + x x 2 + a x + b + x = lim x → ∞ x 2 + a x + b - x 2 x 2 + a x + b + x = lim x → ∞ a x + b x 2 + a x + b + x = lim x → ∞ x a + b x x 1 + a x + b x 2 + 1 = a 1 + 1 = a 2 ∵ lim x → ∞ 1 x = 0 It depends on a .

Search any question & find its solution

Looking for more such questions to practice?