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periodicity of sin(2x)

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(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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lim_{x→ ∞}((x³−21x)(5+4x−x²) )

Solution

−∞

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تعريف مدى دالّة

مجموعة القيم للمتغيّر المتعلّق، التي بها تكون الدالّة معرّفة

أعد الكتابة كـ

xx²−6x+8 =y

x²−6x+8 اضرب الطرفين بـ

x=y(x²−6x+8)

بحيث يكون المُميّز أكبر أو مساوٍ لصفو y الصورة هي مجموعة قيم

x=y(x²−6x+8) المُمَيِّز: 4y²+12y+1

4y²+12y+1≥ 0 : y≤ −√2−32 or y≥ √2−32

افحص هل قيم أطراف مقاطع الصورة مضمومة

y=−√2−32 : Included

y=√2−32 : Included

لذلك، الصورة هي

f(x)≤ −√2−32 or f(x)≥ √2−32

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أهلاً, اطرح سؤالا حول lim_{x→ ∞}((x³−21x)(5+4x−x²) ) أو اختر من الخيارات أدناه

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

periodicity of sin(2x)

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