32. Evaluate each limit, if it exists. Show all steps. (12 marks)

a) lim

x→0

9+x-3

x² +8x+16

b) lim:

x→1 x²-16

x³+1

x-2 x+1

c) lim

d) lim √2-x

e) lim (-1₂-²4)

x-3x-2

3x³+1

f) lim

x→∞0 4x³-1