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Tentukan nilai limit fungsi-fungsi berikut.

Tentukan nilai limit fungsi-fungsi berikut.

begin mathsize 14px style limit as x rightwards arrow 2 of space fraction numerator x squared plus x minus 6 over denominator x minus 2 end fraction end style

Jawaban:

Hasil substutusi nilai begin mathsize 14px style x end style ke fungsi begin mathsize 14px style f open parentheses x close parentheses end style adalah begin mathsize 14px style 0 over 0 end style sehingga penyelesaian limit fungsi tersebut menggunakan 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 x squared plus x minus 6 over denominator x minus 2 end fraction end cell equals cell limit as x rightwards arrow 2 of fraction numerator open parentheses x minus 2 close parentheses open parentheses x plus 3 close parentheses over denominator x minus 2 end fraction end cell row blank equals cell limit as x rightwards arrow 2 of open parentheses x plus 3 close parentheses end cell row blank equals cell 2 plus 3 end cell row blank equals 5 end table end style

Dengan demikian, nilai begin mathsize 14px style limit as x rightwards arrow 2 of fraction numerator x squared plus x minus 6 over denominator x minus 2 end fraction equals 5 end style 

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