1
GATE PI 2012
MCQ (Single Correct Answer)
+1
-0.3
At $$x=0,$$ the function $$f\left( x \right) = {x^3} + 1$$ has
A
a maximum value
B
a minimum value
C
a singularity
D
a point of inflection
2
GATE PI 2009
MCQ (Single Correct Answer)
+1
-0.3
The total derivative of the function $$'xy'$$ is
A
$$x$$ $$dy+y$$ $$dx$$
B
$$x$$ $$dx+y$$ $$dy$$
C
$$dx+dy$$
D
$$dx$$ $$dy$$
3
GATE PI 2008
MCQ (Single Correct Answer)
+1
-0.3
The value of the integral $$\,\,\int\limits_{ - \pi /2}^{\pi /2} {\left( {x\,\cos \,x} \right)dx\,\,} $$ is
A
$$0$$
B
$$\pi $$$$-2$$
C
$$\pi $$
D
$$\pi $$$$+2$$
4
GATE PI 2008
MCQ (Single Correct Answer)
+1
-0.3
The value of the expansion $$\mathop {Lim}\limits_{x \to 0} \left[ {{{\sin \left( x \right)} \over {{e^x}X}}} \right]\,\,$$ is
A
$$0$$
B
$${1 \over 2}$$
C
$$1$$
D
$${1 \over {1 + e}}$$
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