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Nilai dari x→∞lim​(4x2−2x−5​−(2x−2)2​)=....

Pertanyaan

N i l a i space d a r i space limit as x rightwards arrow infinity of open parentheses square root of 4 x squared minus 2 x minus 5 end root minus square root of open parentheses 2 x minus 2 close parentheses squared end root close parentheses equals....

  1. -2

  2. negative 3 over 2

  3. negative 1 half

  4. 1 half

  5. 3 over 2

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

M e n e n t u k a n space n i l a i  limit as x rightwards arrow infinity of open square brackets square root of a x squared plus b x plus c end root minus square root of p x squared plus q r plus r end root close square brackets  J i k a space a equals p comma space m a k a  limit as x rightwards arrow infinity of open square brackets square root of a x squared plus b x plus c end root minus square root of p x squared plus q r plus r end root close square brackets equals fraction numerator b minus q over denominator 2 square root of a end fraction  J i k a space a not equal to p comma space m a k a  limit as x rightwards arrow infinity of open square brackets square root of a x squared plus b x plus c end root minus square root of p x squared plus q r plus r end root close square brackets equals plus-or-minus tilde  J a d i...  limit as x rightwards arrow infinity of open square brackets square root of 4 x squared minus 2 x minus 5 end root minus square root of left parenthesis 2 x minus 2 right parenthesis squared end root close square brackets  equals limit as x rightwards arrow infinity of open square brackets square root of 4 x squared minus 2 x minus 5 end root minus square root of 4 x squared minus 8 x plus 4 end root close square brackets  rightwards double arrow a equals p equals 4  K a r e n a space a equals p space m a k a space b e r l a k u space r u m u s  limit as x rightwards arrow infinity of open square brackets square root of a x squared plus b x plus c end root minus square root of p x squared plus q r plus r end root close square brackets equals fraction numerator b minus q over denominator 2 square root of a end fraction  equals limit as x rightwards arrow infinity of open square brackets square root of 4 x squared minus 2 x minus 5 end root minus square root of 4 x squared minus 8 x plus 4 end root close square brackets  equals fraction numerator negative 2 minus left parenthesis negative 8 right parenthesis over denominator 2 square root of 4 end fraction equals fraction numerator 6 over denominator 2.2 end fraction equals 6 over 4 equals 3 over 2

54

4.0 (3 rating)

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