Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The limit
lim
n
→
∞
∑
i
=
1
n
(
sin
(
1
+
b
i
n
)
)
⋅
b
n
\lim_{n\to\infty}\sum_{i=1}^{n}\bigl(\sin\bigl(1+\tfrac{b i}{n}\bigr)\bigr)\cdot\tfrac{b}{n}
n
→
∞
lim
i
=
1
∑
n
(
sin
(
1
+
n
bi
)
)
⋅
n
b
equals
∫
1
4
sin
x
d
x
.
\displaystyle \int_{1}^{4}\sin x\,dx.
∫
1
4
sin
x
d
x
.
Determine the value of
b
b
b
.
Browse the problem library