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lim
n
→
∞
{
(
n
n
+
1
)
a
+
sin
1
n
}
n
\lim_{n \rightarrow \infty}\left\{\left(\frac{n}{n+1}\right)^a + \sin\frac{1}{n}\right\}^n
lim
n
→
∞
{
(
n
+
1
n
)
a
+
sin
n
1
}
n
…
Mathematics
Problem
lim
n
→
∞
{
(
n
n
+
1
)
a
+
sin
1
n
}
n
\lim_{n \rightarrow \infty}\left\{\left(\frac{n}{n+1}\right)^a + \sin\frac{1}{n}\right\}^n
lim
n
→
∞
{
(
n
+
1
n
)
a
+
sin
n
1
}
n
(when
a
∈
Q
a \in \mathbb{Q}
a
∈
Q
) is equal to (a)
e
−
a
e^{-a}
e
−
a
(b)
−
a
-a
−
a
(c)
e
1
−
a
e^{1-a}
e
1
−
a
(d)
e
1
+
a
e^{1+a}
e
1
+
a
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