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SpecificLimits
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RCLike
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Imports
Init
Mathlib.Analysis.RCLike.Basic
Mathlib.Analysis.SpecificLimits.Basic
Imported by
RCLike
.
tendsto_inverse_atTop_nhds_zero_nat
RCLike
.
tendsto_add_mul_div_add_mul_atTop_nhds
A collection of specific limit computations for
RCLike
#
source
theorem
RCLike
.
tendsto_inverse_atTop_nhds_zero_nat
(๐ :
Type
u_1)
[
RCLike
๐
]
:
Filter.Tendsto
(fun (
n
:
โ
) =>
(โ
n
)
โปยน
)
Filter.atTop
(
nhds
0
)
source
theorem
RCLike
.
tendsto_add_mul_div_add_mul_atTop_nhds
{๐ :
Type
u_1}
[
RCLike
๐
]
(a b c :
๐
)
{d :
๐
}
(hd :
d
โ
0
)
:
Filter.Tendsto
(fun (
k
:
โ
) =>
(
a
+
c
*
โ
k
)
/
(
b
+
d
*
โ
k
)
)
Filter.atTop
(
nhds
(
c
/
d
)
)