1
GATE PI 2016
MCQ (Single Correct Answer)
+1
-0.3
At $$x=0,$$ the function is $$f\left( x \right) = \left| {\sin {{2\pi x} \over L}} \right|\left( { - \infty < x < \infty ,L > 0} \right)$$
A
continuous and differentiable.
B
not continuous and not differentiable.
C
not continuous but differentiable.
D
continuous but not differentiable.
2
GATE PI 2015
MCQ (Single Correct Answer)
+1
-0.3
The function $$f\left( x \right) = {x^2} = x + x + x + ....x$$ times, is defined
A
at all real values of $$x$$
B
only at positive integer values of $$x$$
C
only at negative integer values of $$x$$
D
only at rational values of $$x$$
3
GATE PI 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
$$2$$
4
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
EXAM MAP