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begin mathsize 14px style limit as x rightwards arrow 1 of fraction numerator x squared plus 2 x minus 3 over denominator x squared plus x minus 2 end fraction equals space... end style 

Jawaban:

begin mathsize 14px style x equals 1 end style disubtitusikan pada limit tersebut

begin mathsize 14px style limit as x rightwards arrow 1 of fraction numerator x squared plus 2 x minus 3 over denominator x squared plus x minus 2 end fraction equals fraction numerator 1 squared plus 2 open parentheses 1 close parentheses minus 3 over denominator 1 squared plus 1 minus 2 end fraction equals 0 over 0 end style

Karena menghasilkan limit bentuk tak tentu maka akan ditentukan dengan metode pemfaktoran

begin mathsize 14px style limit as x rightwards arrow 1 of fraction numerator x squared plus 2 x minus 3 over denominator x squared plus x minus 2 end fraction equals fraction numerator open parentheses x plus 3 close parentheses up diagonal strike open parentheses x minus 1 close parentheses end strike over denominator open parentheses x plus 2 close parentheses up diagonal strike open parentheses x minus 1 close parentheses end strike 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 equals fraction numerator 1 plus 3 over denominator 1 plus 2 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 equals 4 over 3 end style 

Jadi, nilai begin mathsize 14px style limit as x rightwards arrow 1 of fraction numerator x squared plus 2 x minus 3 over denominator x squared plus x minus 2 end fraction end style adalah begin mathsize 14px style 4 over 3 end style 

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