Pertanyaan

x → p lim x 2 − p 2 x 3 − p 3

$x \to p lim \frac{x ^{3} - p ^{3}}{x ^{2} - p ^{2}}$

H. Eka

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

nilai .

nilai $begin mathsize 14px style stack text lim end text with x rightwards arrow p below space fraction numerator x cubed minus p cubed over denominator x squared minus p squared end fraction equals 3 over 2 p end style$ .

Pembahasan

Dengan menggunakan konsep L'Hospital atau turunan, diperoleh Jadi, nilai .

Dengan menggunakan konsep L'Hospital atau turunan, diperoleh

$table attributes columnalign right center left columnspacing 0px end attributes row cell size 14px lim with size 14px x size 14px rightwards arrow size 14px p below size 14px space fraction numerator size 14px x to the power of size 14px 3 size 14px minus size 14px p to the power of size 14px 3 over denominator size 14px x to the power of size 14px 2 size 14px minus size 14px p to the power of size 14px 2 end fraction end cell size 14px equals cell size 14px lim with size 14px x size 14px rightwards arrow size 14px p below size 14px space fraction numerator size 14px 3 size 14px x to the power of size 14px 2 over denominator size 14px 2 size 14px x end fraction end cell row blank size 14px equals cell fraction numerator size 14px 3 size 14px p to the power of size 14px 2 over denominator size 14px 2 size 14px p end fraction end cell row blank size 14px equals cell size 14px 3 over size 14px 2 size 14px p end cell end table$

Jadi, nilai $begin mathsize 14px style stack text lim end text with x rightwards arrow p below space fraction numerator x cubed minus p cubed over denominator x squared minus p squared end fraction equals 3 over 2 p end style$ .