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Jika , maka nilai dari adalah ....

Jika , maka nilai dari $begin mathsize 14px style limit as straight x rightwards arrow 2 of fraction numerator open parentheses open parentheses straight f open parentheses straight x close parentheses close parentheses squared plus straight f open parentheses straight x close parentheses minus 12 close parentheses open parentheses straight x squared minus 4 close parentheses over denominator open parentheses open parentheses straight f open parentheses straight x close parentheses close parentheses squared plus 2 straight f open parentheses straight x close parentheses minus 15 close parentheses left parenthesis straight f open parentheses straight x close parentheses minus 2 right parenthesis left parenthesis straight x minus 2 right parenthesis end fraction end style$ adalah ....

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jawaban yang tepat adalah A.

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$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as straight x rightwards arrow 2 of invisible function application fraction numerator open parentheses open parentheses straight f open parentheses straight x close parentheses close parentheses squared plus straight f open parentheses straight x close parentheses minus 12 close parentheses open parentheses straight x squared minus 4 close parentheses over denominator open parentheses open parentheses straight f open parentheses straight x close parentheses close parentheses squared plus 2 straight f open parentheses straight x close parentheses minus 15 close parentheses open parentheses straight f open parentheses straight x close parentheses minus 2 close parentheses open parentheses straight x minus 2 close parentheses end fraction end cell row blank equals cell limit as straight x rightwards arrow 2 of invisible function application fraction numerator open parentheses straight f open parentheses straight x close parentheses plus 4 close parentheses open parentheses straight f open parentheses straight x close parentheses minus 3 close parentheses open parentheses straight x plus 2 close parentheses open parentheses straight x minus 2 close parentheses over denominator open parentheses straight f open parentheses straight x close parentheses plus 5 close parentheses open parentheses straight f open parentheses straight x close parentheses minus 3 close parentheses open parentheses straight f open parentheses straight x close parentheses minus 2 close parentheses open parentheses straight x minus 2 close parentheses end fraction end cell row blank equals cell limit as straight x rightwards arrow 2 of invisible function application fraction numerator open parentheses straight f open parentheses straight x close parentheses plus 4 close parentheses open parentheses straight x plus 2 close parentheses over denominator open parentheses straight f open parentheses straight x close parentheses plus 5 close parentheses open parentheses straight f open parentheses straight x close parentheses minus 2 close parentheses end fraction end cell row blank equals cell fraction numerator limit as straight x rightwards arrow 2 of invisible function application open parentheses open parentheses straight f open parentheses straight x close parentheses plus 4 close parentheses open parentheses straight x plus 2 close parentheses close parentheses over denominator limit as straight x rightwards arrow 2 of invisible function application open parentheses open parentheses straight f open parentheses straight x close parentheses plus 5 close parentheses open parentheses straight f open parentheses straight x close parentheses minus 2 close parentheses close parentheses end fraction end cell row blank equals cell fraction numerator limit as straight x rightwards arrow 2 of invisible function application open parentheses straight f open parentheses straight x close parentheses plus 4 close parentheses times limit as straight x rightwards arrow 2 of invisible function application open parentheses straight x plus 2 close parentheses over denominator limit as straight x rightwards arrow 2 of invisible function application open parentheses straight f open parentheses straight x close parentheses plus 5 close parentheses times limit as straight x rightwards arrow 2 of invisible function application open parentheses straight f open parentheses straight x close parentheses minus 2 close parentheses end fraction end cell row blank equals cell fraction numerator open parentheses limit as straight x rightwards arrow 2 of invisible function application straight f open parentheses straight x close parentheses plus 4 close parentheses times limit as straight x rightwards arrow 2 of invisible function application open parentheses straight x plus 2 close parentheses over denominator open parentheses limit as straight x rightwards arrow 2 of invisible function application straight f open parentheses straight x close parentheses plus 5 close parentheses times open parentheses limit as straight x rightwards arrow 2 of invisible function application straight f open parentheses straight x close parentheses minus 2 close parentheses end fraction end cell row blank equals cell fraction numerator open parentheses 3 plus 4 close parentheses times open parentheses 2 plus 2 close parentheses over denominator open parentheses 3 plus 5 close parentheses times open parentheses 3 minus 2 close parentheses end fraction end cell row blank equals cell fraction numerator 7 times 4 over denominator 8 times 1 end fraction end cell row blank equals cell 7 over 2 end cell end table end style$

Dengan demikian, nilai dari $begin mathsize 14px style limit as straight x rightwards arrow 2 of fraction numerator open parentheses open parentheses straight f open parentheses straight x close parentheses close parentheses squared plus straight f open parentheses straight x close parentheses minus 12 close parentheses open parentheses straight x squared minus 4 close parentheses over denominator open parentheses open parentheses straight f open parentheses straight x close parentheses close parentheses squared plus 2 straight f open parentheses straight x close parentheses minus 15 close parentheses left parenthesis straight f open parentheses straight x close parentheses minus 2 right parenthesis left parenthesis straight x minus 2 right parenthesis end fraction end style$ adalah .

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