1
GATE ME 2016 Set 2
MCQ (Single Correct Answer)
+1
-0.3
The values of $$x$$ for which the function $$f\left( x \right) = {{{x^2} - 3x - 4} \over {{x^2} + 3x - 4}}$$ is NOT continuous are
A
$$4$$ and $$-1$$
B
$$4$$ and $$1$$
C
$$-4$$ and $$1$$
D
$$-4$$ and $$-1$$
2
GATE ME 2016 Set 3
MCQ (Single Correct Answer)
+1
-0.3
$$\mathop {Lt}\limits_{x \to 0} {{{{\log }_e}\left( {1 + 4x} \right)} \over {{e^{3x}} - 1}}$$ is equal to
A
$$0$$
B
$${1 \over {12}}$$
C
$${4 \over 3}$$
D
$$1$$
3
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 ____
4
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
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Turbo Machinery
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