1
GATE ME 2012
MCQ (Single Correct Answer)
+1
-0.3
Consider the function $$f\left( x \right) = \left| x \right|$$ in the interval $$\,\, - 1 \le x \le 1.\,\,\,$$ At the point $$x=0, f(x)$$ is
A
continuous and differentiable .
B
non-continuous and differentiable.
C
continuous and non-differentiable.
D
neither continuous nor differentiable.
2
GATE ME 2012
MCQ (Single Correct Answer)
+1
-0.3
$$\,\mathop {Lim}\limits_{x \to 0} \left( {{{1 - \cos x} \over {{x^2}}}} \right)$$ is
A
$$1/4$$
B
$$1/2$$
C
$$1$$
D
$$2$$
3
GATE ME 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
4
GATE ME 2011
MCQ (Single Correct Answer)
+1
-0.3
A series expansion for the function $$\sin \theta $$ is _______.
A
$$1 - {{{\theta ^2}} \over {2!}} + {{{\theta ^4}} \over {4!}} - ......$$
B
$$\theta - {{{\theta ^3}} \over {3!}} + {{{\theta ^5}} \over {5!}} - ......$$
C
$$1 + \theta + {{{\theta ^2}} \over {2!}} + {{{\theta ^3}} \over {3!}} + ......$$
D
$$\theta + {{{\theta ^3}} \over {3!}} + {{{\theta ^5}} \over {5!}} + ......$$
GATE ME Subjects
Turbo Machinery
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
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CBSE
Class 12