limit x menuju 1 akar 1-x3/akar 1-x2
Matematika
jufriza
Pertanyaan
limit x menuju 1 akar 1-x3/akar 1-x2
1 Jawaban
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1. Jawaban newbie
[tex] \lim_{x \to 1} \sqrt \frac{1- x^{3} }{1- x^{2} } [/tex]
= [tex] \lim_{x \to 1} \sqrt \frac{(1- x)(1+x+ x^{2} ) }{(1+ x)(1-x) } [/tex]
=[tex] \lim_{x \to 1} \sqrt \frac{(1+x+ x^{2} ) }{(1+ x) } [/tex]
=[tex] \sqrt \frac{(1+1+ 1^{2} ) }{(1+ 1) } [/tex]
=[tex] \sqrt \frac{3 }{2 } [/tex]