Let f ( x ) be a continuously differentiable function on the interval (0, ∞) such that f…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
Let f(x) be a continuously differentiable function on the interval (0, ∞) such that f(1) = 2 and
\(\lim _{t \rightarrow x} \frac{t^{10} f(x)-x^{10} f(t)}{t^{9}-x^{9}}=1\)
for each x > 0 . Then, for all x > 0, f(x) is equal to
\(\lim _{t \rightarrow x} \frac{t^{10} f(x)-x^{10} f(t)}{t^{9}-x^{9}}=1\)
for each x > 0 . Then, for all x > 0, f(x) is equal to
Answer
(B)
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