Page 13 - PRE-U STPM MATHEMATICS (T) TERM 2

ANSWERS

1 Limits and Continuity (c) (d) y
y
Exercise 1.1
1. (a) 6 (b) 4
(c) 3 (d) –3 1
2. (a) 1 (b) 7 0 x x
4 3 –1 0
1
(c) – (c) 6 continuous continuous
2
3. (a) 1 (b) 3 (e) y (f) y
(c) 1 (d) 1
2 3
4. (a) 3 (b) 1 (c) 4
(d) ∞ (e) 15 (f) 2 –1 0 x –2 0 1 x
5
4
5. (a) 1 (b) –1
5
6. (a) –1 (b) 1 (c) does not exist continuous not continuous
4. (a) 1, –1; Not continuous
7. (a) 9 (b) –10 (c) –1 (b)
(d) 5 (e) does not exist y
8. (a) 2 (b) 2 (c) 2
(d) 2 (e) –3 (f) does not exist 1
Exercise 1.2 5 x
1.
f(x ) –1

(c) does not exist
x 5. (a) does not exist; f is not continuous
_ π 0 π _
– (b)
2 2 y
5
continuous
2. f(x)
2 x
0
–1
1

0
1 x
– – 1 2 3
4 6. Yes
continuous y
3. (a) (b) y 1
2
y x
1 0 1 2 3 4 5
–
x 2
0 π
x –1
0 π 2π

continuous not continuous

195

Ans STPM Math T Term2.indd 195 02/11/2018 12:47 PM