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Problem
Problem
Let
a
=
min
{
x
2
+
2
x
+
3
,
x
∈
R
}
a = \min \{x^2 + 2x + 3, x \in \mathbb{R}\}
a
=
min
{
x
2
+
2
x
+
3
,
x
∈
R
}
and
b
=
lim
θ
→
0
1
−
cos
θ
θ
2
b = \lim_{\theta \to 0} \frac{1 - \cos \theta}{\theta^2}
b
=
lim
θ
→
0
θ
2
1
−
c
o
s
θ
. The value of
∑
r
=
0
n
a
r
b
n
−
r
\sum_{r=0}^{n} a^r b^{n-r}
∑
r
=
0
n
a
r
b
n
−
r
is
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