JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

f(x)

is a polynomial satisfying

f(x)\cdot f\left(\frac{1}{x}\right)=f(x)+f\left(\frac{1}{x}\right)

and

f(2) > 1

, then

\lim \limits_{{x \rightarrow 1}} f(x)

View answer and explanation

Correct option: A

Option A (2) is correct because the polynomial satisfying the given condition is

f(x) = x^n + 1

, and thus

\lim_{x \rightarrow 1} f(x) = 2

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