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Mathematics
Problem
For constants
a
a
a
and
b
b
b
with
a
<
b
a<b
a
<
b
, evaluate the limit in terms of
a
a
a
and
b
b
b
:
lim
n
→
∞
∑
i
=
1
n
e
3
(
a
+
(
b
−
a
)
i
n
)
b
−
a
n
.
\lim_{n\to\infty}\sum_{i=1}^{n} e^{3\left(a+\frac{(b-a)i}{n}\right)}\,\frac{b-a}{n}.
n
→
∞
lim
i
=
1
∑
n
e
3
(
a
+
n
(
b
−
a
)
i
)
n
b
−
a
.
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