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x → 5 lim ​ x − 5 x 2 − 25 ​ = ...

 

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diperoleh .

diperoleh begin mathsize 14px style limit as x rightwards arrow 5 of open parentheses fraction numerator x squared minus 25 over denominator x minus 5 end fraction close parentheses equals 10 end style.

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Perhatikan perhitungan berikut. Jadi, diperoleh .

Perhatikan perhitungan berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 2px end attributes row cell limit as x rightwards arrow 5 of open parentheses fraction numerator x squared minus 25 over denominator x minus 5 end fraction close parentheses end cell equals cell limit as x rightwards arrow 5 of open parentheses fraction numerator open parentheses x minus 5 close parentheses open parentheses x plus 5 close parentheses over denominator x minus 5 end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow 5 of open parentheses x plus 5 close parentheses end cell row blank equals cell 5 plus 5 end cell row blank equals 10 end table end style

Jadi, diperoleh begin mathsize 14px style limit as x rightwards arrow 5 of open parentheses fraction numerator x squared minus 25 over denominator x minus 5 end fraction close parentheses equals 10 end style.

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