Roboguru

Tentukan nilai

Tentukan nilai begin mathsize 14px style limit as x rightwards arrow 3 of space fraction numerator x squared minus 9 over denominator square root of x squared plus 16 end root minus 5 end fraction equals.... end style  

Jawaban:

begin mathsize 14px style limit as x rightwards arrow 3 of space fraction numerator x squared minus 9 over denominator square root of x squared plus 16 end root minus 5 end fraction equals limit as x rightwards arrow 3 of space fraction numerator x squared minus 9 over denominator square root of x squared plus 16 end root minus 5 end fraction times fraction numerator square root of x squared plus 16 end root plus 5 over denominator square root of x squared plus 16 end root plus 5 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals limit as x rightwards arrow 3 of space fraction numerator open parentheses x squared minus 9 close parentheses open parentheses square root of x squared plus 16 end root plus 5 close parentheses over denominator x squared plus 16 minus 25 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals limit as x rightwards arrow 3 of space fraction numerator left parenthesis x squared minus 9 right parenthesis open parentheses square root of x squared plus 16 end root plus 5 close parentheses over denominator x squared minus 9 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals limit as x rightwards arrow 3 of space open parentheses square root of x squared plus 16 end root plus 5 close parentheses space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals square root of left parenthesis 3 right parenthesis squared plus 16 end root plus 5 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals square root of 9 plus 16 end root plus 5 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals square root of 25 plus 5 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 5 plus 5 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 10 end style 

Jadi, begin mathsize 14px style limit as x rightwards arrow 3 of space fraction numerator x squared minus 9 over denominator square root of x squared plus 16 end root minus 5 end fraction equals 10 end style.

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