The Gateway to Computer Science Excellence
First time here? Checkout the FAQ!
x
+4 votes
194 views

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

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

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 by Boss (29.5k points)
edited by | 194 views
0
Option D, we can take some sample f(x) and try..
0

Please log in or register to answer this question.

Related questions

Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true
49,781 questions
54,511 answers
188,329 comments
75,107 users