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Mathematics
Mathematics
Problem
Let
a
a
a
and
b
b
b
be real constants. Determine
lim
x
→
0
+
(
1
+
a
x
)
b
/
x
\displaystyle\lim_{x\to 0^{+}}(1+ax)^{b/x}
x
→
0
+
lim
(
1
+
a
x
)
b
/
x
in terms of
a
a
a
and
b
b
b
.
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