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Nilai dari ...

Nilai dari begin mathsize 14px style limit as x rightwards arrow 5 of fraction numerator x squared minus 8 x plus 15 over denominator x squared minus x minus 20 end fraction equals end style ...

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  2. ...space 

Jawaban:

Dengan proses pemfaktoran fungsi dari limit tersebut, didapat:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow thin space 5 of open parentheses fraction numerator x squared minus 8 x plus 15 over denominator x squared minus x minus 20 end fraction close parentheses end cell equals cell limit as x rightwards arrow thin space 5 of open parentheses fraction numerator x squared minus 8 x plus 15 over denominator x squared minus x minus 20 end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow thin space 5 of open parentheses fraction numerator left parenthesis x minus 3 right parenthesis left parenthesis x minus 5 right parenthesis over denominator left parenthesis x plus 4 right parenthesis left parenthesis x minus 5 right parenthesis end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow thin space 5 of open parentheses fraction numerator x minus 3 over denominator x plus 4 end fraction close parentheses end cell row blank equals cell fraction numerator 5 minus 3 over denominator 5 plus 4 end fraction end cell row blank equals cell 2 over 9 end cell end table end style 

Jadi, begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow thin space 5 of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses fraction numerator x squared minus 8 x plus 15 over denominator x squared minus x minus 20 end fraction close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 2 over 9 end cell end table end style.

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