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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 9 of space fraction numerator x minus 9 over denominator square root of x minus 3 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 kali akar sekawan.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 9 of fraction numerator x minus 9 over denominator square root of x minus 3 end fraction end cell equals cell limit as x rightwards arrow 9 of fraction numerator x minus 9 over denominator square root of x minus 3 end fraction cross times fraction numerator square root of x plus 3 over denominator square root of x plus 3 end fraction end cell row blank equals cell limit as x rightwards arrow 9 of fraction numerator open parentheses x minus 9 close parentheses open parentheses square root of x plus 3 close parentheses over denominator x minus 9 end fraction end cell row blank equals cell limit as x rightwards arrow 9 of open parentheses square root of x plus 3 close parentheses end cell row blank equals cell square root of 9 plus 3 end cell row blank equals 6 end table end style

Dengan demikian, nilai begin mathsize 14px style limit as x rightwards arrow 9 of fraction numerator x minus 9 over denominator square root of x minus 3 end fraction equals 6 end style 

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