(d) The limit does not exist
- Let f(x)= √. What is the
value of (^ ) (^ )?
(a) 0 (b) - (c)^ (d)^
- Let f (x+y)= f (x). f (y) and f
(1)=2 for all x, y R, where f (x) is
continuous function. What is f ’(1)
equal to?
(a) 2 In 2 (b) In 2 (c) 1 (d) 0 - If f (x)= (x- ) ø (x) and ø (x) is
continuous at x= , then what is f
‘ ( ) equal to?
(a) ø ‘( ) (b) ø ( )
(c) ø ( ) (d) 2ø ( )
19.What is the value of?
(a) 0 (b) 5/4 (c) 5/16 (d) 25/4
- In 0 ((^ )) 1 exists, then which
one of the following is correct?
(a) Both f (x) and g (x)
must exist
(b) f (x) need not exist but
g (x) must exist
(c) Both f (x) and g (x)
need not exist
(d) f (x) must exist but g
(x) need not exist
- If f (x)= {
is continuous at x=π/2, then which
one of the following is correct?
(a) m= 1, n= 0 (b) m=^
(c) n= m(π/2) (d) m= n= π/2- What is the value of k for
which the following function f(x)
is continuous for all x?
f(x)= {( )^
(a) 3 (b) 2 (c) 1 (d) - 1- What is the value of
( ) ( )
?^
(a) a-b (b) a+b
(c)^
(d)- If the function f(x)=^ (^ ),
x≠±2 is continuous at x=2, then
what is f(2) equal to?
(a) 0 (b)^ (c) 1 (d) 2 - What is the value of
.^ /
?
(a) e (b) (c) (d)- What is the value of (^ )
| |^?^
(a) 0 (b) 1 (c) - 1
(d) The limit doesn’t exist