LIMITS AND DERIVATIVES
- The value of
(^ ) is:
(a) 10/3 (b) 3/10 (c) 6/5 (d) 5/6
- The value of
⁄ (^)
(a) 0 (b) 1/3 (c) 1/6 (d) In 3
(^)
1 is equal to:^
(a) 0 (b) 1 (c)^ (d)^
- The value of.^ √ / is:
(a) 2/9 (b) -2/49
(c) -1/56 (d) -1/59
(^)
is equal to:^
(a) (b)^ (c)^ (d)^
- The value of 0 √^ √^1 is:
(a) 1 (b) 0 (c) √ (d) √^
- ( )^ ⁄^ is equal to:
(a) 3 (b) 4 (c) (d) e
(^)
√^1 is equal to:^
(a) 2 (b) √
(c) 4 (d) 2
- If f(x)= {
is
continuous at x= 1, then the value
of k is:
(a) 1 (b) 2 (c) 3 (d) 4
- If f(x)= {
(^)
, be
continuous at x= π/2, then the
value of λ is:
(a) -1 (b) 1 (c) 0 (d) 2
- If the function f(x)=
2
(^)
is continuous,
then the value of a is:
(a) ½ (b) 2 (c) 3 (d) 4
- If f(a)= 2, f ‘(a)= 1;g(a)= -1, g
‘(a)= 2, then (^ )^ (^ )^ (^ )^ (^ ),
is equal to:
(a) -5 (b) 0 (c) 1/5 (d) 5 - If f(x)=
{
√^√ (^) √
is continuous at x=0, then the
value of a is:
(a) 4 (b) 6 (c) 8 (d)16
- What is the value of
?^
(a) (In 2) (In 5) (b) (In 3) (In 5)(c) (In 10) (In 5) (d) 0- What is the value of
√ (^) √ (^) √
?^
(a) √^ (b) √^
(c) 0