1
GATE CE 2002
+1
-0.3
The value of the following definite integral in $$\int\limits_{{\raise0.5ex\hbox{{ - \pi }} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{2}}}^{{\raise0.5ex\hbox{\pi } \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{2}}} {{{Sin2x} \over {1 + \cos x}}dx = \_\_\_\_\_\_\_\_.}$$
A
$$-2log$$ $$2$$
B
$$2$$
C
$$0$$
D
None
2
GATE CE 2001
+1
-0.3
Limit of the following series as $$x$$ approaches $${\pi \over 2}$$ is
$$f\left( x \right) = x - {{{x^3}} \over {3!}} + {{{x^5}} \over {5!}} - {{{x^7}} \over {7!}} + - - - - -$$
A
$${{2\pi } \over 3}$$
B
$${\pi \over 2}$$
C
$${\pi \over 3}$$
D
$$1$$
3
GATE CE 2000
+1
-0.3
Consider the following integral $$\mathop {Lim}\limits_{x \to 0} \int\limits_1^a {{x^{ - 4}}} dx$$ ________.
A
diverges
B
converges to $$1/3$$
C
converges to $${ - {1 \over {{a^3}}}}$$
D
converges to $$0$$
4
GATE CE 1999
+1
-0.3
Limit of the function, $$\mathop {Lim}\limits_{n \to \infty } {n \over {\sqrt {{n^2} + n} }}$$ is _______.
A
$${1 \over 2}$$
B
$$0$$
C
$$\infty$$
D
$$1$$
GATE CE Subjects
Engineering Mechanics
Strength of Materials Or Solid Mechanics
Structural Analysis
Construction Material and Management
Reinforced Cement Concrete
Steel Structures
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
Irrigation
Geomatics Engineering Or Surveying
Environmental Engineering
Transportation Engineering
Engineering Mathematics
General Aptitude
EXAM MAP
Joint Entrance Examination