0
1
2
4
Non-existent
Which of the following functions are continuous at x = 0?
I. ln (1+x)
II. ex
III. ln(ex - 1)
I only
II only
I and II only
II and III only
I, II and III
II only
III only
I and III
II and III
None of these
0
4/9
-2
2/9
1
3/2
3
1
1/2
4
0
2
3
Does not exist
1
0
Non-existent
3/10
1/10
1/7
1/2
1/5
e
1
0
0.369
0.585
2.400
2.426
3.426
e3tcos(6t)
3/7
1
6/7
2
5/7
–3 ( x ( 3
–3 < x < 3
–1 < x ( 5
–1 ( x ( 5
–1 ( x < 5
1/2
-1/2
–1
–2
Non-existent
1
3/2
2
7/2
17/6
I only
II only
I and II only
II and III only
I, II and III
log 9
0
3log3
-1
0
1
-2
None of these
–1 < x ( 3
–4 ( x ( 4
–2 < x < 4
2 ( x < 5
-2< x < 6