x→3lim​x​−3​x−3​= ....

Pertanyaan

limit as x rightwards arrow 3 of fraction numerator x minus 3 over denominator square root of x minus square root of 3 end fraction equals space....

Y. Herlanda

Master Teacher

Mahasiswa/Alumni STKIP PGRI Jombang

Jawaban terverifikasi

Jawaban

nilai limit as x rightwards arrow 3 of fraction numerator x minus 3 over denominator square root of x minus square root of 3 end fraction equals 2 square root of 3 

Pembahasan

Langkah pertama yaitu mengecek nilai limit dengan substitusi langsung

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 3 of fraction numerator x minus 3 over denominator square root of x minus square root of 3 end fraction end cell equals cell fraction numerator 3 minus 3 over denominator square root of 3 minus square root of 3 end fraction end cell row blank equals cell 0 over 0 end cell row blank blank blank end table

Karena nilai limit 0 over 0 merupakan bentuk tak tentu, maka langkah selanjutnya menentukan nilai limit menggunakan cara perkalian sekawan

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 3 of fraction numerator x minus 3 over denominator square root of x minus square root of 3 end fraction end cell equals cell limit as x rightwards arrow 3 of fraction numerator x minus 3 over denominator square root of x minus square root of 3 end fraction cross times fraction numerator square root of x plus square root of 3 over denominator square root of x plus square root of 3 end fraction end cell row blank equals cell limit as x rightwards arrow 3 of fraction numerator up diagonal strike open parentheses x minus 3 close parentheses end strike open parentheses square root of x plus square root of 3 close parentheses over denominator up diagonal strike open parentheses x minus 3 close parentheses end strike end fraction end cell row blank equals cell square root of 3 plus square root of 3 end cell row blank equals cell 2 square root of 3 end cell end table

Jadi, nilai limit as x rightwards arrow 3 of fraction numerator x minus 3 over denominator square root of x minus square root of 3 end fraction equals 2 square root of 3 

68

4.7 (7 rating)

Ayu pisca

Pembahasan tidak lengkap

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