Porfavor ayudame a calcular los siguientes limites del literal g y h?

<img src="https://tex.z-dn.net/?f=g.%5Clim%20_%7Bx%5Cto%20%5C%3A-2%7D%5Cleft%28%5Cfrac%7Bx%5E5-4x%5E3%7D%7B2x%5E2-8%7D%5Cright%29" />

<img src="https://tex.z-dn.net/?f=%5Cmathrm%7BSimplificar%5C%3A%7D%5Cfrac%7Bx%5E5-4x%5E3%7D%7B2x%5E2-8%7D" />

<img src="https://tex.z-dn.net/?f=%5Cmathrm%7BFactorizar%7D%5C%3Ax%5E5-4x%5E3%3A%5Cquad%20x%5E3%5Cleft%28x%5E2-4%5Cright%29%5C%3Ay%5C%3Afactorizar%5C%3A2x%5E2-8%3A%5C%3A2%28x%5E%7B2%7D-4%29" />

<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E3%5Cleft%28x%5E2-4%5Cright%29%7D%7B2%5Cleft%28x%5E2-4%5Cright%29%7D" />

<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E3%7D%7B2%7D" />

<img src="https://tex.z-dn.net/?f=%3D%5Clim%20_%7Bx%5Cto%20%5C%3A-2%7D%5Cleft%28%5Cfrac%7Bx%5E3%7D%7B2%7D%5Cright%29" />

<img src="https://tex.z-dn.net/?f=%5Cmathrm%7BSustituir%5C%3Ala%5C%3Avariable%7D%3A" />

<img src="https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Cleft%28-2%5Cright%29%5E3%7D%7B2%7D" />

<img src="https://tex.z-dn.net/?f=%3D-4" />

<img src="https://tex.z-dn.net/?f=h.%5Clim%20_%7Bx%5Cto%20%5C%3A2%7D%5Cleft%28%5Cfrac%7Bx%5E3%2B5x%5E2%2B8x%2B4%7D%7Bx%5E2%2B4x%2B4%7D%5Cright%29" />

[img = 10]

[img = 11]

[img = 12].