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Mathematics
Problem
Evaluate:
lim
x
→
1
∑
k
=
1
100
x
k
−
100
x
−
1
\lim_{x \rightarrow 1} \frac{\sum_{k=1}^{100} x^k - 100}{x - 1}
x
→
1
lim
x
−
1
∑
k
=
1
100
x
k
−
100
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