MathDB
Problems
Contests
National and Regional Contests
India Contests
India LIMIT
2019 LIMIT
2019 LIMIT Category C
Problem 11
alternating series
alternating series
Source: LIMIT 2019 CCS1 P11
April 28, 2021
algebra
Problem Statement
Let
x
=
1
1
⋅
2
−
1
2
⋅
3
+
1
3
⋅
4
−
…
x=\frac1{1\cdot2}-\frac1{2\cdot3}+\frac1{3\cdot4}-\ldots
x
=
1
⋅
2
1
−
2
⋅
3
1
+
3
⋅
4
1
−
…
Then
e
x
+
1
e^{x+1}
e
x
+
1
is
Back to Problems
View on AoPS