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begin mathsize 14px style limit as x rightwards arrow 2 of fraction numerator 2 x squared minus 3 x minus 2 over denominator x minus 2 end fraction equals space... end style   

Jawaban:

begin mathsize 14px style x equals 2 end style disubtitusikan pada limit tersebut

begin mathsize 14px style limit as x rightwards arrow 2 of fraction numerator 2 x squared minus 3 x minus 2 over denominator x minus 2 end fraction equals fraction numerator 2 times 2 squared minus 3 open parentheses 2 close parentheses minus 2 over denominator 2 minus 2 end fraction equals 0 over 0 end style 

Karena menghasilkan limit bentuk tak tentu maka akan ditentukan dengan metode pemfaktoran

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of fraction numerator 2 x squared minus 3 x minus 2 over denominator x minus 2 end fraction end cell equals cell fraction numerator open parentheses 2 x plus 1 close parentheses up diagonal strike open parentheses x minus 2 close parentheses end strike over denominator up diagonal strike open parentheses x minus 2 close parentheses end strike end fraction end cell row cell space space space space space space space space space space space space space space space space space space space space space space space space end cell equals cell fraction numerator 2 times 2 plus 1 over denominator 1 end fraction end cell row cell space space space space space space space space space space space space space space space space space space space space space space space space end cell equals 5 end table end style   

Jadi, nilai begin mathsize 14px style limit as x rightwards arrow 2 of fraction numerator 2 x squared minus 3 x minus 2 over denominator x minus 2 end fraction end style adalah 5

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