Evaluate each limit and justify your answer. 

lim x→2 (3 / 2x^5−4x^2−50)^4

Evaluate each limit and justify your answer. 

lim x→4 √x^3−2x^2−8x / x−4

Evaluate each limit and justify your answer. 

lim t→4 t−4 /√t−2

Evaluate each limit and justify your answer. 

lim x→1 (x+5x / x+2)^4

Evaluate each limit and justify your answer. 

lim x→5 ln 6(√x^2−16−3) / 5x−25

Evaluate each limit and justify your answer. 

lim x→0 (x / √16x+1-1)^1/3

Graph the function f(x)=e^−x / x(x+2)^2 using a graphing utility. (Experiment with your choice of a graphing window.) Use your graph to determine the following limits.

a. lim x→−2^+ f(x)

Graph the function f(x)=e^−x / x(x+2)^2 using a graphing utility. (Experiment with your choice of a graphing window.) Use your graph to determine the following limits.

b. lim x→−2 f(x)