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Mathematics
Mathematics
Problem
The series
∑
n
=
1
∞
1
n
(
n
+
1
)
\displaystyle\sum_{n=1}^{\infty}\dfrac{1}{n(n+1)}
n
=
1
∑
∞
n
(
n
+
1
)
1
converges to
S
=
1
S=1
S
=
1
. What is the value of
∣
S
−
S
49
∣
|S-S_{49}|
∣
S
−
S
49
∣
? a)
0.0204
0.0204
0.0204
b)
0.04
0.04
0.04
c)
0.02
0.02
0.02
d)
0.0004
0.0004
0.0004
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