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Finding the radius of convergence of a cubic Taylor series

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#sequences-and-series #power-series #taylor-expansion
950
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Taylor's theorem implies existence of n+1 order derivative?

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#calculus #derivatives #taylor-expansion
840
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Finding the degree of a Maclaurin polynomial of $\ln(x)$ for the error to $\lt0.001$

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#sequences-and-series #taylor-expansion
253
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Trivial question about limit of vectors to zero divided by its norm related to proof of 2nd order Optimality Condition

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#limits #optimization #taylor-expansion #proof-explanation
592
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Implication of Euler's Theorem on Taylor's Series Expansion

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#multivariable-calculus #partial-differential-equations #taylor-expansion #partial-derivative
3k
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Ignoring higher order terms in approximations

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#taylor-expansion #approximation
1.6k
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Laurent series expansion about z=0

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#complex-analysis #taylor-expansion #laurent-series
63
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Local Representation theorems on Banach spaces from paper by S.Dayal

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#representation-theory #taylor-expansion #banach-spaces #multilinear-algebra
355
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What do Taylor series accomplish?

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#calculus #sequences-and-series #complex-analysis #taylor-expansion #definition
232
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Taylor Series Proof for $(1−x+x^2)e^x$

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#taylor-expansion
13.1k
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When do Taylor series provide a perfect approximation?

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#calculus #derivatives #taylor-expansion #definition #approximation
39
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If we find a Taylor Series for a function and then evaluate were it converges must it represent a power series?

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#sequences-and-series #power-series #taylor-expansion
62
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Determine $n$ so that the difference between the $n$-th Taylor-polynomial of $\sin(x)$ with $x_0=0$ and $\sin(x)$ on $[-3,3]$ is at most $10^{-6}$?

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#calculus #real-analysis #analysis #functions #taylor-expansion
657
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Taylor expansion for vector fields on manifolds

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#differential-geometry #taylor-expansion #smooth-manifolds #vector-fields
661
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Calculate a definite integral using Maclaurin series to a certain error bound.

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#taylor-expansion

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