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lim
x
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∞
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10
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\lim_{x \to \infty} \left( \frac{(x+1)^{10} + (x+2)^{10} + \dots + (x+100)^{10}}{x^{10} + 10^{10}} \right)
x
→
∞
lim
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10
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Mathematics
Problem
lim
x
→
∞
(
(
x
+
1
)
10
+
(
x
+
2
)
10
+
⋯
+
(
x
+
100
)
10
x
10
+
10
10
)
\lim_{x \to \infty} \left( \frac{(x+1)^{10} + (x+2)^{10} + \dots + (x+100)^{10}}{x^{10} + 10^{10}} \right)
x
→
∞
lim
(
x
10
+
1
0
10
(
x
+
1
)
10
+
(
x
+
2
)
10
+
⋯
+
(
x
+
100
)
10
)
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