Roboguru

Dengan mensubstitusi nilai-nilai yang didekati oleh , tentukan nilai limit fungsi tersebut. g.

Dengan mensubstitusi nilai-nilai yang didekati oleh undefined, tentukan nilai limit fungsi tersebut.

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

Jawaban:

Syarat metode substitusi boleh digunakan jika hasil substitusi tidak membentuk nilai bentuk tak tentu seperti begin mathsize 14px style 0 over 0 comma space infinity comma space infinity over infinity comma space infinity minus infinity comma space infinity to the power of infinity comma space 0 to the power of 0 comma space infinity to the power of 0 end style.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 3 of space fraction numerator square root of 1 plus x squared end root over denominator 2 x minus 1 end fraction end cell equals cell fraction numerator square root of 1 plus 3 squared end root over denominator 2 open parentheses 3 close parentheses minus 1 end fraction end cell row blank equals cell fraction numerator square root of 10 over denominator 5 end fraction end cell end table end style

Jadi, nilai begin mathsize 14px style limit as x rightwards arrow 3 of space fraction numerator square root of 1 plus x squared end root over denominator 2 x minus 1 end fraction equals fraction numerator square root of 10 over denominator 5 end fraction end style.

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