Let f ( x ) be a continuously differentiable function on the interval (0, $\infty$) such that f(1) = 2 and $\lim _{t\to x}\frac{{t}^{10}f(x)-{x}^{10}f(t)}{{t}^{9}-{x}^{9}}=1$for each x 0. Then, for all x 0, f ( x ) is equal to

Question

Let f ( x ) be a continuously differentiable function on the interval (0, $\infty$) such that f(1) = 2 and $\lim _{t\to x}\frac{{t}^{10}f(x)-{x}^{10}f(t)}{{t}^{9}-{x}^{9}}=1$for each x > 0. Then, for all x > 0, f ( x ) is equal to

YESPYQ · Accepted Answer

Correct answer: b) $\frac{9}{11x}+\frac{13}{11}{x}^{10}$. (B)

Let f ( x ) be a continuously differentiable function on the interval (0, \(\infty\)) such that f(1) = 2 and \(\lim _{t\…

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