1
GATE ME 2015 Set 3
Numerical
+1
-0
The value of $$\mathop {Lim}\limits_{x \to 0} \left( {{{ - \sin x} \over {2\sin x + x\cos x}}} \right)\,\,\,$$ is __________.
Your input ____
2
GATE ME 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
At $$x=0,$$ the function $$f\left( x \right) = \left| x \right|$$ has
A
a minimum
B
a maximum
C
a point of inflection
D
neither a maximum nor minimum
3
GATE ME 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
The value of $$\mathop {Lim}\limits_{x \to 0} \,{{1 - \cos \left( {{x^2}} \right)} \over {2{x^4}}}$$ is
A
$$0$$
B
$${{1 \over 2}}$$
C
$${{1 \over 4}}$$
D
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4
GATE ME 2014 Set 2
MCQ (Single Correct Answer)
+1
-0.3
$$\mathop {Lt}\limits_{x \to 0} \left( {{{{e^{2x}} - 1} \over {\sin \left( {4x} \right)}}} \right)\,\,$$ is equal to
A
$$0$$
B
$$0.5$$
C
$$1$$
D
$$2$$
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