Question

alguien sabe cómo puedo empezar a resolver estos dos? mi maestro es un burro y no nos explicó​

Answer 1

Respuesta:

tienes que poner el termino leyendre y el cauchi te dejo como las bas a solucionar

Explicación paso a paso:

P_{n}(x)\,

0 {\displaystyle 1\,}1\,

1 {\displaystyle x\,}x\,

2 {\displaystyle {\begin{matrix}{\frac {1}{2}}\end{matrix}}(3x^{2}-1)\,}{\begin{matrix}{\frac  12}\end{matrix}}(3x^{2}-1)\,

3 {\displaystyle {\begin{matrix}{\frac {1}{2}}\end{matrix}}(5x^{3}-3x)\,}{\begin{matrix}{\frac  12}\end{matrix}}(5x^{3}-3x)\,

4 {\displaystyle {\begin{matrix}{\frac {1}{8}}\end{matrix}}(35x^{4}-30x^{2}+3)\,}{\begin{matrix}{\frac  18}\end{matrix}}(35x^{4}-30x^{2}+3)\,

5 {\displaystyle {\begin{matrix}{\frac {1}{8}}\end{matrix}}(63x^{5}-70x^{3}+15x)\,}{\begin{matrix}{\frac  18}\end{matrix}}(63x^{5}-70x^{3}+15x)\,

6 {\displaystyle {\begin{matrix}{\frac {1}{16}}\end{matrix}}(231x^{6}-315x^{4}+105x^{2}-5)\,}{\begin{matrix}{\frac  1{16}}\end{matrix}}(231x^{6}-315x^{4}+105x^{2}-5)\,

7 {\displaystyle {\begin{matrix}{\frac {1}{16}}\end{matrix}}(429x^{7}-693x^{5}+315x^{3}-35x)\,}{\begin{matrix}{\frac  1{16}}\end{matrix}}(429x^{7}-693x^{5}+315x^{3}-35x)\,

8 {\displaystyle {\begin{matrix}{\frac {1}{128}}\end{matrix}}(6435x^{8}-12012x^{6}+6930x^{4}-1260x^{2}+35)\,}{\begin{matrix}{\frac  1{128}}\end{matrix}}(6435x^{8}-12012x^{6}+6930x^{4}-1260x^{2}+35)\,

9 {\displaystyle {\begin{matrix}{\frac {1}{128}}\end{matrix}}(12155x^{9}-25740x^{7}+18018x^{5}-4620x^{3}+315x)\,}{\begin{matrix}{\frac  1{128}}\end{matrix}}(12155x^{9}-25740x^{7}+18018x^{5}-4620x^{3}+315x)\,

10 {\displaystyle {\begin{matrix}{\frac {1}{256}}\end{matrix}}(46189x^{10}-109395x^{8}+90090x^{6}-30030x^{4}+3465x^{2}-63)\,}{\begin{matrix}{\frac  1{256}}\end{matrix}}(46189x^{{10}}-109395x^{8}+90090x^{6}-30030x^{4}+3465x^{2}-63)\,