Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
CBSE
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
Evaluate
lim
n
→
∞
∑
i
=
1
n
3
n
∣
3
i
n
−
1
∣
\displaystyle \lim_{n\to\infty}\sum_{i=1}^{n}\frac{3}{n}\,\Bigl|\frac{3i}{n}-1\Bigr|
n
→
∞
lim
i
=
1
∑
n
n
3
n
3
i
−
1
. (a)
7
2
\dfrac{7}{2}
2
7
(b)
3
2
\dfrac{3}{2}
2
3
(c)
5
2
\dfrac{5}{2}
2
5
(d) 2
Related theory
Area Applications
Accumulation Concepts
Fundamental theorem of calculus
Definite integrals
Integrals
Browse the problem library