Roboguru

Nilai

Nilai begin mathsize 14px style limit as x rightwards arrow 5 of fraction numerator x squared minus x minus 20 over denominator 2 x squared minus 13 x plus 15 end fraction equals... end style 

Jawaban:

begin mathsize 14px style limit as x rightwards arrow 5 of fraction numerator x squared minus x minus 20 over denominator 2 x squared minus 13 x plus 15 end fraction equals limit as x rightwards arrow 5 of fraction numerator open parentheses x minus 5 close parentheses open parentheses x plus 4 close parentheses over denominator open parentheses 2 x minus 3 close parentheses open parentheses x minus 5 close parentheses 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 space equals limit as x rightwards arrow 5 of fraction numerator left parenthesis x plus 4 right parenthesis over denominator left parenthesis 2 x minus 3 right parenthesis 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 space equals fraction numerator 5 plus 4 over denominator 2 open parentheses 5 close parentheses minus 3 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 space equals 9 over 7 end style 

Jadi, nilai limitnya adalah begin mathsize 14px style 9 over 7 end style.

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