1}( \frac{ {x}^{4} - 1 }{1 - {x}^{3} } ) = \frac{0}{0} " alt="lim_{x - > 1}( \frac{ {x}^{4} - 1 }{1 - {x}^{3} } ) = \frac{0}{0} " align="absmiddle" class="latex-formula">
По правилу Лопиталя
1}(\frac{ ( { {x}^{4} - 1 )}^{,} ) }{ {(1 - {x}^{3}) }^{,} } ) = \frac{ {4x}^{3} }{ - {3x}^{2} } = - \frac{4}{3} " alt="lim_{x - > 1}(\frac{ ( { {x}^{4} - 1 )}^{,} ) }{ {(1 - {x}^{3}) }^{,} } ) = \frac{ {4x}^{3} }{ - {3x}^{2} } = - \frac{4}{3} " align="absmiddle" class="latex-formula">