1
GATE ME 2014 Set 4
MCQ (Single Correct Answer)
+1
-0.3
The value of the integral $$\int\limits_0^2 {{{{{\left( {x - 1} \right)}^2}\sin \left( {x - 1} \right)} \over {{{\left( {x - 1} \right)}^2} + \cos \left( {x - 1} \right)}}dx} $$ is
A
$$3$$
B
$$0$$
C
$$-1$$
D
$$-2$$
2
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
$$2$$
3
GATE ME 2014 Set 3
MCQ (Single Correct Answer)
+1
-0.3
If a function is continuous at a point,
A
the limit of the function may not exist at the point
B
The function must be derivable at the point
C
the limit of the function at the point tends to infinity
D
the limit must exist the point and the value of limit should be same as the value of the function at the point.
4
GATE ME 2014 Set 1
MCQ (Single Correct Answer)
+1
-0.3
$$\mathop {Lt}\limits_{x \to 0} {{x - \sin x} \over {1 - \cos x}}$$ is
A
$$0$$
B
$$1$$
C
$$3$$
D
not defined
GATE ME Subjects
Turbo Machinery
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
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Civil Services
UPSC Civil Service
CBSE
Class 12