Let f(x) = x 6 + 2x 4 + x 3 + 2x + 3, x ∈ R.Then the natura…

Maths Functions, Limits, Continuity and Differentiability JEE Main 2021 - ( Limits ) Numeric Response

Published by: CGP EDU Academic Team

Published on: August 14, 2026

Let f(x) = x 6 + 2x 4 + x 3 + 2x + 3, x ∈ R.Then the natural number for which is .

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The correct answer is:

(7)

f(n) = x 6 + 2x 4 + x 3 + 2x + 3

⇒ 9n − (19) = 44

⇒ 9n = 63

⇒ n = 7

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