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
Fluid Mechanics and Hydraulic Machines
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