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Problem
Problem
lim
x
→
1
−
n
x
n
+
1
−
(
n
+
1
)
x
n
+
1
(
e
x
−
e
)
sin
π
x
\lim_{x \to 1^-} \frac{nx^{n+1} - (n+1)x^n + 1}{(e^x - e) \sin \pi x}
lim
x
→
1
−
(
e
x
−
e
)
s
i
n
π
x
n
x
n
+
1
−
(
n
+
1
)
x
n
+
1
where
n
=
100
n = 100
n
=
100
is equal to a.
5050
π
e
\frac{5050}{\pi e}
π
e
5050
b.
100
π
e
\frac{100}{\pi e}
π
e
100
c.
−
5050
π
e
-\frac{5050}{\pi e}
−
π
e
5050
d.
−
4950
π
e
-\frac{4950}{\pi e}
−
π
e
4950
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