32 evaluate each limit if it exists show all steps 12 marks a lim x 0
Question
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