1
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 $$0$$
2
GATE CE 1999
MCQ (Single Correct Answer)
+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
$$1$$
3
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
$${\left( {n + 1} \right)^2}$$
4
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
GATE CE Subjects
Fluid Mechanics and Hydraulic Machines
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
CBSE
Class 12