Tentukan hasil dari: a. x→11lim​x−11x2+x−21​=...

Pertanyaan

Tentukan hasil dari:

a. begin mathsize 14px style limit as x rightwards arrow 11 of fraction numerator x squared plus x minus 21 over denominator x minus 11 end fraction equals... end style 

A. Salim

Master Teacher

Mahasiswa/Alumni Universitas Pelita Harapan

Jawaban terverifikasi

Jawaban

 begin mathsize 14px style limit as x rightwards arrow 11 of fraction numerator x squared plus x minus 21 over denominator x minus 11 end fraction end style tidak ada. 

Pembahasan

begin mathsize 14px style limit as x rightwards arrow 11 of fraction numerator x squared plus x minus 21 over denominator x minus 11 end fraction end style 

Perhatikan grafik fungsi begin mathsize 14px style f open parentheses x close parentheses equals fraction numerator x squared plus x minus 21 over denominator x minus 11 end fraction end style berikut ini 


 


Berdasarkan grafik terlihat bahwa begin mathsize 14px style limit as x rightwards arrow 11 to the power of plus of f open parentheses x close parentheses equals infinity end style dan begin mathsize 14px style limit as x rightwards arrow 11 to the power of minus of f open parentheses x close parentheses equals negative infinity end style. Karena begin mathsize 14px style limit as x rightwards arrow 11 to the power of plus of f open parentheses x close parentheses not equal to limit as x rightwards arrow 11 to the power of minus of f open parentheses x close parentheses end style, maka berdasakan defenisi limit ,begin mathsize 14px style limit as x rightwards arrow 11 of f open parentheses x close parentheses end style tidak ada.  

Jadi begin mathsize 14px style limit as x rightwards arrow 11 of fraction numerator x squared plus x minus 21 over denominator x minus 11 end fraction end style tidak ada. 

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