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

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

j. begin mathsize 14px style limit as x rightwards arrow 1 of space fraction numerator negative x squared plus 5 x over denominator x squared plus 2 x plus 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 1 of space fraction numerator negative x squared plus 5 x over denominator x squared plus 2 x plus 1 end fraction end cell equals cell fraction numerator negative open parentheses 1 close parentheses squared plus 5 open parentheses 1 close parentheses over denominator 1 squared plus 2 open parentheses 1 close parentheses plus 1 end fraction end cell row blank equals cell 4 over 4 end cell row blank equals 1 end table end style

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

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