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What we can infer from equating Taylor series for $(1+x)^n$ and binomial theorem for $(1+x)^n$?

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#sequences-and-series #discrete-mathematics #taylor-expansion #recreational-mathematics #binomial-theorem
503
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Expansion of product of spherical Bessel function and spherical harmonic

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#taylor-expansion #bessel-functions #spherical-harmonics
1.6k
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Proving $\sin 2x = 2\sin x \cos x$ using Taylor Series and Cauchy products

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#real-analysis #trigonometry #taylor-expansion #cauchy-product
680
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A few questions on Taylor's inequality.

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#calculus #real-analysis #sequences-and-series #derivatives #taylor-expansion
238
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Nice equality involving summation, factorials, and $e$

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#summation #taylor-expansion
1.8k
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Use the Maclaurin series to prove that $e^{i\theta} = cos(\theta) + isin(\theta)$

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#calculus #complex-numbers #taylor-expansion
95
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Taylor polynomial Question

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#taylor-expansion
267
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Error behavior for numerical integration in the case of nonanalytic functions.

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#integration #analysis #numerical-methods #taylor-expansion #analyticity
93
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Using $ T_{7} $ of a Taylor series to estimate the value of $ \sin(3^{\circ}) $.

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#calculus #trigonometry #taylor-expansion #approximation #estimation
499
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Solving an implicit differential equation?

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#ordinary-differential-equations #numerical-methods #taylor-expansion #computational-mathematics #implicit-differentiation
169
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Estimate value of $\sin\left(\frac{\theta}{3}\right)$ using taylor polynomial

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#calculus #complex-numbers #taylor-expansion
770
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Taylor expansion of $(1-x)(1-y)$.

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#calculus #multivariable-calculus #taylor-expansion
153
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Prove $\sin(x)<x$, $\forall x>0$

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#real-analysis #taylor-expansion
1.1k
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Prove that the Taylor series is the solution to this minimization problem?

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#optimization #taylor-expansion
1.5k
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Understanding the Taylor expansion of a function

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#calculus #taylor-expansion

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