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solve nonlinear equation with logarithms

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#logarithms #taylor-expansion #systems-of-equations
180
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Maclaurin series of fraction

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#taylor-expansion
487
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Taylor Expansion to Solve Definite Integral within Specific Accuracy

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#integration #definite-integrals #numerical-methods #taylor-expansion #approximation
101
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Taylor Series of $g(x)=f(x^3)$

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#taylor-expansion
558
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How to compute the Taylor expansion of $\sin^2(x)$?

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#real-analysis #taylor-expansion
45
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Showing that $x=0$ is a minimum point by using Taylor's expansion

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#real-analysis #taylor-expansion
359
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Trying to use Taylor series to find a formula for a Richardson extrapolation of order 6

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#analysis #numerical-methods #taylor-expansion #extrapolation
59
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Taylor polynomial - error doesn't converge always to $0$

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#calculus #taylor-expansion
77
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How can I calculate $\lim_{x \to \infty}((x^3-x^2+\frac{x}{2})e^{\frac{1}{x}}-\sqrt{x^6+1})$?

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#limits #taylor-expansion
2.2k
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Are Stock Market graphs differentiable?

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#calculus #derivatives #taylor-expansion #graphing-functions
826
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(taylor series) For what range of $x$ can $\sin x=x$ approximation be used to relative accuracy of $\frac{1}{2}10^{-14}$?

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#calculus #sequences-and-series #taylor-expansion
1.6k
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Is this result related to the Taylor series?

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#calculus #integration #taylor-expansion #nonstandard-analysis
799
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How can I calculate $\lim\limits_{x\rightarrow 0} \frac{(1+x)^{\frac{1}{x}}-e}{x}$?

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#calculus #real-analysis #limits #taylor-expansion #exponential-function
368
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Taylor Series Error Bounds of sin

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#taylor-expansion
154
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Special Case of Neoclassical Utility Function: $\lim_{\sigma \to 1} \frac{1-\sigma}{-c^{\sigma}} = \ln c?$

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#calculus #real-analysis #algebra-precalculus #limits #taylor-expansion

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