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intersecciones 1/(1+x^2)

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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taylor x²³

Solution

1+23 (x−1)−19 (x−1)²+481 (x−1)³−7243 (x−1)⁴+…

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Serie de Taylor

La serie de Taylor de una función f(x) en a se define como:
f(x)=f(a)+f^′(a)1! (x−a)+f^′′(a)2! (x−a)²+f^′′′(a)3! (x−a)³+…

Aplicar la fórmula de Taylor

=1+ddx (x²³)(1)1! (x−1)+d²dx² (x²³)(1)2! (x−1)²+d³dx³ (x²³)(1)3! (x−1)³+…

Evaluar derivadas

=1+23 1! (x−1)+−29 2! (x−1)²+827 3! (x−1)³+−5681 4! (x−1)⁴+…

Simplificar

=1+23 (x−1)−19 (x−1)²+481 (x−1)³−7243 (x−1)⁴+…

Negative Exponents Examples

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

intersecciones 1/(1+x^2)

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