.
1. [2 points] Evaluate the limit
x2 81
.
x9 2x2 + 19x + 9
lim
A. 9
C.
1
2
18
17
B.
D. DNE
.
2. [2 points] Evaluate the limit
lim
x0
A. 9
C.
9
9
x x+1 x
B. 0
9
2
D. DNE
.
3. [2 points] Evaluate the
A-Level Maths Revision Card
Differentiation
(
Q1. Use the chain rule to differentiate the following:
1
1
a) f (x) = (2 x + 3) 3
b) g(y) = 3(2 5y 3) 2
c) f (x) = sin4 (x)
d) g(y) = cos2 (3 y + 7)
2y
f)
.
1. [4 points] Evaluate limits if it exists. If the limit does not exist, explain why.
1
x2 4
.
.(a) lim
x2
x11
.
1
(b) lim
x1
x2 1
1
x3 1
.
.
2. [4 points] Evaluate limits if it exists. If the limi