Roboguru

Nilai   ....

Pertanyaan

Nilai  begin mathsize 14px style limit as x rightwards arrow 2 of space fraction numerator square root of 5 x minus 1 end root minus square root of 6 x minus 3 end root over denominator x minus 2 end fraction equals end style ....

Pembahasan Soal:

Perhatikan 

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 square root of 5 x minus 1 end root minus square root of 6 x minus 3 end root over denominator x minus 2 end fraction end cell equals cell limit as x rightwards arrow 2 of fraction numerator square root of 5 x minus 1 end root minus square root of 6 x minus 3 end root over denominator x minus 2 end fraction cross times fraction numerator square root of 5 x minus 1 end root plus square root of 6 x minus 3 end root over denominator square root of 5 x minus 1 end root plus square root of 6 x minus 3 end root end fraction end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator 5 x minus 1 minus 6 x plus 3 over denominator open parentheses x minus 2 close parentheses open parentheses square root of 5 x minus 1 end root plus square root of 6 x minus 3 end root close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator negative x plus 2 over denominator open parentheses x minus 2 close parentheses open parentheses square root of 5 x minus 1 end root plus square root of 6 x minus 3 end root close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator 1 over denominator 6 open parentheses square root of 5 x minus 1 end root plus square root of 6 x minus 3 end root close parentheses end fraction end cell row blank equals cell 1 over 6 end cell end table end style 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 01 April 2021

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