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Mathematics
Mathematics
Problem
Evaluate
lim
x
→
∞
(
(
1
+
3
x
)
x
−
(
1
+
1
x
)
x
)
\displaystyle\lim_{x\to\infty}\Bigl(\bigl(1+\tfrac{3}{x}\bigr)^{x}-\bigl(1+\tfrac{1}{x}\bigr)^{x}\Bigr)
x
→
∞
lim
(
(
1
+
x
3
)
x
−
(
1
+
x
1
)
x
)
. a)
e
2
e^{2}
e
2
b)
e
3
−
e
e^{3}-e
e
3
−
e
c)
0
0
0
d)
e
3
−
1
e^{3}-1
e
3
−
1
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