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DLMF:1.4.E35
(Q85)
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English
DLMF:1.4.E35
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Statements
DLMF defining formula
f
(
x
)
=
∑
k
=
0
n
f
(
k
)
(
a
)
k
!
(
x
-
a
)
k
+
R
n
,
𝑓
𝑥
subscript
superscript
𝑛
𝑘
0
superscript
𝑓
𝑘
𝑎
𝑘
superscript
𝑥
𝑎
𝑘
subscript
𝑅
𝑛
{\displaystyle{\displaystyle f(x)=\sum^{n}_{k=0}\frac{f^{(k)}(a)}{k!}(x-a)^{k}% +R_{n},}}
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comment
Warning: Falling back to standard tex;
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Symbols used
Q10729
DLMF defining formula
!
{\displaystyle{\displaystyle!}}
xml-id
introduction.Sx4.p1.t1.r15.m5abdec
0 references
integer
DLMF defining formula
k
𝑘
{\displaystyle{\displaystyle k}}
xml-id
C1.S1.XMD4.m1bdec
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nonnegative integer
DLMF defining formula
n
𝑛
{\displaystyle{\displaystyle n}}
xml-id
C1.S1.XMD7.m1gdec
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remainder
DLMF defining formula
R
n
subscript
𝑅
𝑛
{\displaystyle{\displaystyle R_{n}}}
xml-id
C1.S4.XMD8.m1dec
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instance of
Digital Library of Mathematical Functions Formula
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MaRDI profile type
MaRDI formula profile
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Identifiers
Digital Library of Mathematical Functions ID
1.4.E35
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Mathematics
(1 entry)
mardi
Formula:85
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