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Today's Calculation Of Integral
2011 Today's Calculation Of Integral
713
713
Part of
2011 Today's Calculation Of Integral
Problems
(1)
Today's calculation of Integral 713
Source: 1978 Tsuda College entrance exam/Mathematics
6/25/2011
If a positive sequence
{
a
n
}
n
≥
1
\{a_n\}_{n\geq 1}
{
a
n
}
n
≥
1
satisfies
∫
0
a
n
x
n
d
x
=
2
\int_0^{a_n} x^{n}\ dx=2
∫
0
a
n
x
n
d
x
=
2
, then find
lim
n
→
∞
a
n
.
\lim_{n\to\infty} a_n.
lim
n
→
∞
a
n
.
calculus
integration
limit
calculus computations