+1 vote
90 views

Let $f(x), x\in \left[0, 1\right]$, be any positive real valued continuous function. Then

$\lim_{n \rightarrow \infty} (n + 1) \int_{0}^{1} x^{n} f(x) \text{d}x$

equals.

1. $max_{x \in \left[0, 1\right]} f(x)$
2. $min_{x \in \left[0, 1\right]} f(x)$
3. $f(0)$
4. $f(1)$
5. $\infty$
asked in Calculus | 90 views
Option D, we can take some sample f(x) and try..