Roboguru

begin mathsize 14px style limit as x rightwards arrow 4 of fraction numerator x minus 4 over denominator square root of x minus 2 end fraction equals space... end style       

Jawaban:

begin mathsize 14px style x equals 4 end style disubtitusikan pada limit tersebut

begin mathsize 14px style limit as x rightwards arrow 4 of fraction numerator x minus 4 over denominator square root of x minus 2 end fraction equals fraction numerator 4 minus 4 over denominator square root of 4 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 4 of fraction numerator x minus 4 over denominator square root of x minus 2 end fraction end cell equals cell limit as x rightwards arrow 4 of fraction numerator up diagonal strike open parentheses square root of x minus 2 close parentheses end strike open parentheses square root of x plus 2 close parentheses over denominator up diagonal strike open parentheses square root of 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 end cell equals cell square root of 4 plus 2 end cell row cell space space space space space space space space space space space space space space space space space space space end cell equals cell 2 plus 2 end cell row cell space space space space space space space space space space space space space space space space space space space end cell equals 4 row blank blank space end table end style  

 Jadi, nilaibegin mathsize 14px style limit as x rightwards arrow 4 of fraction numerator x minus 4 over denominator square root of x minus 2 end fraction end style adalah 4 

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