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1
GATE ME 2012
MCQ (Single Correct Answer)
+1
-0.3
$$\,\mathop {Lim}\limits_{x \to 0} \left( {{{1 - \cos x} \over {{x^2}}}} \right)$$ is
A
$$1/4$$
B
$$1/2$$
C
$$1$$
D
$$2$$
2
GATE ME 2012
MCQ (Single Correct Answer)
+1
-0.3
At $$x=0,$$ the function $$f\left( x \right) = {x^3} + 1$$ has
A
a maximum value
B
a minimum value
C
a singularity
D
a point of inflection
3
GATE ME 2011
MCQ (Single Correct Answer)
+1
-0.3
A series expansion for the function $$\sin \theta $$ is _______.
A
$$1 - {{{\theta ^2}} \over {2!}} + {{{\theta ^4}} \over {4!}} - ......$$
B
$$\theta - {{{\theta ^3}} \over {3!}} + {{{\theta ^5}} \over {5!}} - ......$$
C
$$1 + \theta + {{{\theta ^2}} \over {2!}} + {{{\theta ^3}} \over {3!}} + ......$$
D
$$\theta + {{{\theta ^3}} \over {3!}} + {{{\theta ^5}} \over {5!}} + ......$$
4
GATE ME 2011
MCQ (Single Correct Answer)
+1
-0.3
What is $$\mathop {Lim}\limits_{\theta \to 0} {{\sin \theta } \over \theta }\,\,$$ equal to ?
A
$$\theta $$
B
$$sin$$$$\theta $$
C
$$0$$
D
$$1$$
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GATE ME Subjects
Engineering Mechanics
Engineering Mechanics Static and Dynamics
Machine Design
Bolted Riveted and Welded Joints Design For Static Loading Design of Brakes and Clutches Design of Spur Gears Design of Bearings Fatigue Strength
Strength of Materials
Springs Simple Stress and Strain Complex Stresses Pure Bending Moment of Inertia Shear Force and Bending Moment Stresses In Beams Deflection of Beams Columns and Struts Torsion Strain Energy Method Thin Cylinders
Heat Transfer
Conduction Fin Design and Transient Heat Conduction Convection Radiation Heat Exchangers
Production Engineering
Sheet Metal Forming Processes Metal Cutting Welding Process Metal Forming Casting Advance Machine Tools Machining Metrology and Inspection
Industrial Engineering
Queuing Production Planning and Control Line Balancing Forecasting Pert and Cpm Inventory Control Transportation Scheduling Linear Programming Assignment
Turbo Machinery
Turbo Machinery
Theory of Machines
Vibrations Gears and Gear Trains Flywheel Analysis of Plane Mechanisms
Engineering Mathematics
Linear Algebra Calculus Vector Calculus Probability and Statistics Differential Equations Complex Variable Transform Theory Numerical Methods
Fluid Mechanics
Fluid Properties Fluid Statics Boundary Layer Turbulent Flow Laminar Flow Fluid Dynamics Fluid Kinematics
Thermodynamics
Calculation of Work and Heat Entropy and Irreversibility Properties of Pure Substances Basic Concepts and Zeroth Law First Law of Thermodynamics Rankine Cycle Availability Second Law of Thermodynamics
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