Evaluate $\lim_{w\rightarrow1}\left(1+w^{\frac{1}{3}}\right)\left(2-w^2+3w^3\right)$   

Evaluate $\lim_{t\rightarrow-2}\ \frac{t^2-1}{t^2+3t-1}$   

Evaluate $\lim_{z\rightarrow2}\left(\frac{2z+z^2}{z^2+4}\right)^3=$   

Evaluate $\lim_{x\rightarrow0}\ \frac{x^2-x-2}{x^3-6x^2-7x+1}=$   

Evaluate $\lim_{y\rightarrow-2}\ \ \frac{4-3y^2-y^3}{6-y-y^2}=$   

Evaluate $\lim_{x\rightarrow-1\ \ }\ \frac{x^3-7x^2+14x-8}{2x^2-3x-4}=$