Question

lim
x--->0$\frac{ x^{2} + x^{4} }{ x^{6}- x^{2} }$

Answer 1

$\lim_{x \to \ 0} \frac{ x^{2} + x^{4} }{ x^{6}- x^{2} } = \frac{ (x^{2} )(1+ x^{2} )}{( x^{2} )( x^{4}-1) } = \frac{1+ x^{2} }{-1+ x^{4} } = \frac{1+ 0^{2} }{-1+ 0^{4} } = \frac{+1}{-1} =-1$

SALUDOS!!