Engineering Mathematics
Linear Algebra
Marks 1Marks 2
Vector Calculus
Marks 1Marks 2
Probability and Statistics
Marks 1Marks 2
Differential Equations
Marks 1Marks 2
Complex Variable
Marks 1Marks 2
Transform Theory
Marks 1Marks 2
Numerical Methods
Marks 1Marks 2
1
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
2
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
$$-2$$
3
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
$$2$$
4
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.
GATE ME Subjects
Engineering Mechanics
Machine Design
Strength of Materials
Heat Transfer
Production Engineering
Industrial Engineering
Turbo Machinery
Theory of Machines
Engineering Mathematics
Fluid Mechanics
Thermodynamics
General Aptitude