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 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
undefined
2
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 ____
3
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
4
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
$$-2$$
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