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3.

3. limit as x rightwards arrow 2 of fraction numerator x squared plus x minus 12 over denominator x squared minus 3 x end fraction

Jawaban:

Permasalahan limit as x rightwards arrow 2 of fraction numerator x squared plus x minus 12 over denominator x squared minus 3 x end fraction dapat diselesaikan dengan menggunakan metode pemfaktoran. Sehingga diperoleh

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of fraction numerator x squared plus x minus 12 over denominator x squared minus 3 x end fraction end cell equals cell limit as x rightwards arrow 2 of fraction numerator open parentheses x plus 4 close parentheses open parentheses x minus 3 close parentheses over denominator x open parentheses x minus 3 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator open parentheses x plus 4 close parentheses over denominator x end fraction end cell row blank equals cell fraction numerator open parentheses 2 plus 4 close parentheses over denominator 2 end fraction end cell row blank equals cell 6 over 2 end cell row blank equals 3 end table

Jadi, limit as x rightwards arrow 2 of fraction numerator x squared plus x minus 12 over denominator x squared minus 3 x end fraction equals 3.

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