1
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
Let $$p = \mathop {\lim }\limits_{x \to {0^ + }} {\left( {1 + {{\tan }^2}\sqrt x } \right)^{{1 \over {2x}}}}$$ then $$log$$ $$p$$ is equal to :
A
$${1 \over 2}$$
B
$${1 \over 4}$$
C
$$2$$
D
$$1$$
2
JEE Main 2015 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
$$\mathop {\lim }\limits_{x \to 0} {{\left( {1 - \cos 2x} \right)\left( {3 + \cos x} \right)} \over {x\tan 4x}}$$ is equal to
A
2
B
$${1 \over 2}$$
C
4
D
3
3
JEE Main 2015 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
If the function.

$$g\left( x \right) = \left\{ {\matrix{ {k\sqrt {x + 1} ,} & {0 \le x \le 3} \cr {m\,x + 2,} & {3 < x \le 5} \cr } } \right.$$

is differentiable, then the value of $$k+m$$ is :
A
$${{10} \over 3}$$
B
$$4$$
C
$$2$$
D
$${{16} \over 5}$$
4
JEE Main 2014 (Offline)
MCQ (Single Correct Answer)
+4
-1
$$\mathop {\lim }\limits_{x \to 0} {{\sin \left( {\pi {{\cos }^2}x} \right)} \over {{x^2}}}$$ is equal to :
A
$$ - \pi $$
B
$$ \pi $$
C
$${\pi \over 2}$$
D
1
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