# Questions tagged [lagrange-interpolation]

A method of generating a polynomial that crosses through a set of data. The degree of this polynomial is equal to the size of the data.

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### Approximating a Value by Using Lagrange Interpolation

I am getting a mathematics course and there is a homework question to solve. If $e^{1.3}$ is approximated by Lagrangian interpolation from the values for $e^0 = 1$, $e^1 = 2.7183$ , and $e^2=7.3891$,...
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### How to get the general term for a quartic sequence really need help [closed]

Is it possible to find the general term for a quartic sequence and if so how do you do it? The sequence I am using is 1,9,36,100,225,441, 784, 1296, 2025, 3025 I am only interested in finding the ...
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### the maximum value of a fundamental complex function

Consider $n$ distinct points $z_1,z_2,\cdots,z_n$ in the unit closed disc $\mathbb{D} = \{z \in \mathbb{C}: |z| \leq 1\}$, i.e., $|z_i| \leq 1$ for any $i = 1,2,\cdots,n$. Define the complex function \...
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### What is wrong with my derivation of Simpson's Rule via Lagrange interpolation? + Is my alternative a better approximation?

I understand that correct derivations exist on this site. I am, however, interested in why my workings are incorrect. Let $f(x)\approx L(x)=\sum_{n=0}^2\ell_n(x)\cdot f(c_i)$, where $c_i$ are three ...
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