Roboguru

Hitunglah limit-limit berikut ini!

Hitunglah limit-limit berikut ini!

begin mathsize 14px style limit as x rightwards arrow 1 of fraction numerator square root of 2 x plus 6 end root minus 2 over denominator x squared plus x end fraction end style 

  1. ... 

  2. ... 

Jawaban:

Definisi dari limit menyatakan bahwa suatu fungsi begin mathsize 14px style f left parenthesis x right parenthesis end style akan mendekati nilai tertentu jika begin mathsize 14px style x end style  mendekati nilai tertentu. Untuk menyelesaikan soal di atas dengan cara substitusi.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 1 of fraction numerator square root of 2 x plus 6 end root minus 2 over denominator x squared plus x end fraction end cell equals cell fraction numerator square root of 2 left parenthesis 1 right parenthesis plus 6 end root minus 2 over denominator left parenthesis 1 right parenthesis squared plus left parenthesis 1 right parenthesis end fraction end cell row blank equals cell fraction numerator square root of 8 minus 2 over denominator 2 end fraction end cell row blank equals cell fraction numerator 2 square root of 2 minus 2 over denominator 2 end fraction end cell row blank equals cell fraction numerator 2 open parentheses square root of 2 minus 1 close parentheses over denominator 2 end fraction end cell row blank equals cell square root of 2 minus 1 end cell end table end style 

 

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