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For , let be defined by . Then…
MATHEMATICS · Subjective · ISC · Mathematics · Calculus · Calculus
Problem
For
n
∈
N
n\in\mathbb{N}
n
∈
N
, let
x
n
x_n
x
n
be defined by
(
1
+
1
n
)
n
+
x
n
=
e
\left(1+\frac{1}{n}\right)^{n+x_n}=e
(
1
+
n
1
)
n
+
x
n
=
e
. Then
lim
n
→
∞
(
2
x
n
)
\lim_{n\to\infty}(2x_n)
lim
n
→
∞
(
2
x
n
)
equals
Related theory
Logarithmic Functions
Limits
Limits and Continuity
Indeterminate forms
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