Question

evaluate limit in question 6 and 7

Answer 1

6. first evaluate the expression:
$( {x}^{3} - 1) \div (x - 1)$
${(x - 1)( {x}^{2} + {1}^{2} + (x)(1))} \div (x - 1)$
$( {x}^{2} + x + 1)$
now evaluate the limit of it,
putting $lim x→1 ( {1}^{2} + 1 + 1 )$
we get answer 3