Evaluate the given limit. (Hint: The difference of cubes theorem states that
A3B3=(AB)(A2+AB+B2)\displaystyle {A}^{{3}}-{B}^{{3}}={\left({A}-{B}\right)}{\left({A}^{{2}}+{A}{B}+{B}^{{2}}\right)})



limb1b31b21\displaystyle \lim_{{{b}\rightarrow{1}}}{\frac{{{b}^{{3}}-{1}}}{{{b}^{{2}}-{1}}}}