Question

Which of the following statements are true or false? Justify your answer.
i) )

l is an odd function.
n + x
( 2
x +
1
y ) = lx + −
= nx m
ii) If l
f ( , then )
x
x −3
iii) 1
lim3 =
x .
→ x
x − 2 − 4 −
x = .
f (y
iv) If the rate of change of y with respect to x is 5 and x is changing at 3 units per second, then y is changing faster than x .
v) If mean-value theorem is valid for 2
vi) ∫ −
d .
dx
x 2 sin x
sin 2
t dt = 2sin x
t
x x
3+ x
vii) If 3
≤ x , then 45
f in 2
( 2 +
f , then 5
( ≠
x) = x
3− x ,
viii) 12
∫ dx
3 4 =
(4 − x .
)(x − )3
ix) π2 1 x
0 π − for 2
cos x ≥
x) = x
f .
≤ x .
≤
′( =
2)
x
+ 3
1 ≤
c . =
∫ − . (20)

Answer 1

question is not so clear