1
GATE CE 2001
MCQ (Single Correct Answer)
+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
$$1$$
2
GATE CE 2000
MCQ (Single Correct Answer)
+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 $$0$$
3
GATE CE 1999
MCQ (Single Correct Answer)
+1
-0.3
The function $$f\left( x \right) = {e^x}$$ is _________.
A
Even
B
odd
C
Neither even nor odd
D
None
4
GATE CE 1999
MCQ (Single Correct Answer)
+1
-0.3
Number of inflection points for the curve $$\,\,\,y = x + 2{x^4}\,\,\,\,$$ is_______.
A
$$3$$
B
$$1$$
C
$$n$$
D
$${\left( {n + 1} \right)^2}$$
GATE CE Subjects
Engineering Mechanics
Construction Material and Management
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
Geomatics Engineering Or Surveying
Environmental Engineering
Transportation Engineering
General Aptitude
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
CBSE
Class 12