lim (x^4)-1/(x^3)-1

lim (x^4)-1/(x^3)-1

Postby Guest » Sat Aug 09, 2014 3:30 am

[tex]\lim_{x \to 1} \frac{(x^4)-1}{(x^3)-1}[/tex]

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Re: lim (x^4)-1/(x^3)-1

Postby Math Tutor » Sat Aug 09, 2014 3:36 am

[tex]\lim_{x \to 1} \frac{(x^4)-1}{(x^3)-1} = \lim_{x \to 1} \frac{(x^2-1)(x^2+1)}{(x-1)(x^2+x+1)}=\\=\lim_{x \to 1} \frac{(x-1)(x+1)(x^2+1)}{(x-1)(x^2+x+1)} = \lim_{x \to 1} \frac{(x+1)(x^2+1)}{(x^2+x+1)} = \frac{(1+1)(1+1)}{1+1+1} = \frac{4}{3}[/tex]

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