1
GATE IN 2008
MCQ (Single Correct Answer)
+1
-0.3
$$\,\mathop {Lim}\limits_{x \to 0} {{\sin x} \over x}\,\,\,$$ is
A
indeterminate
B
$$0$$
C
$$1$$
D
$$ \propto $$
2
GATE IN 2008
MCQ (Single Correct Answer)
+1
-0.3
Given $$y = {x^2} + 2x + 10\,\,\,$$ the value of $$\,\,{\left. {{{dy} \over {dx}}} \right|_{x = 1}}\,\,$$ is equal to
A
$$0$$
B
$$4$$
C
$$12$$
D
$$13$$
3
GATE IN 2007
MCQ (Single Correct Answer)
+1
-0.3
The value of $$\,\int\limits_0^\infty {\int\limits_0^\infty {{e^{ - {x^2}}}{e^{ - {y^2}}}} dx\,dy\,\,\,\,} $$ is
A
$${{\sqrt \pi } \over 2}$$
B
$${\sqrt \pi }$$
C
$$\pi $$
D
$${\pi \over 4}$$
4
GATE IN 2007
MCQ (Single Correct Answer)
+1
-0.3
Consider the function $$\,\,f\left( x \right) = {\left| x \right|^3},\,\,\,$$ where $$x$$ is real. Then the function $$f(x)$$ at $$x=0$$ is
A
continuous but not differentiable
B
once differentiable but not twice.
C
twice differentiable but not thrice.
D
thrice differentiable