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(2x+5)/(x-1)< 1

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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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테일러 e^x²

Solution

1+x²+12 x⁴+16 x⁶+124 x⁸+…

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Solution steps

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테일러 시리즈

a에서의 함수 f(x)의 테일러 급수는 다음과 같이 정의된다:
f(x)=f(a)+f^′(a)1! (x−a)+f^′′(a)2! (x−a)²+f^′′′(a)3! (x−a)³+…

테일러 공식 적용

=1+ddx (e^x²)(0)1! x+d²dx² (e^x²)(0)2! x²+d³dx³ (e^x²)(0)3! x³+…

파생상품 평가

=1+01! x+22! x²+03! x³+124! x⁴+05! x⁵+1206! x⁶+07! x⁷+16808! x⁸+…

다듬다

=1+x²+12 x⁴+16 x⁶+124 x⁸+…

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안녕, 질문하다 테일러 e^x² 또는 아래를 선택하세요

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

(2x+5)/(x-1)< 1

Solution

Solution steps

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