1
GATE CE 2000
+2
-0.6
Limit of the function
$$f\left( x \right) = {{1 - {a^4}} \over {{x^4}}}\,\,as\,\,x \to \infty$$ is given by
A
$$1$$
B
$${e^{ - {a^4}}}$$
C
$$\infty$$
D
$$0$$
2
GATE CE 2000
+2
-0.6
If $$f\left( {x,y,z} \right) =$$
$${\left( {{x^2} + {y^2} + {z^2}} \right)^{{\raise0.5ex\hbox{{ - 1}} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{2}}}},$$ $${{{\partial ^2}f} \over {\partial {x^2}}} + {{{\partial ^2}f} \over {\partial {y^2}}} + {{{\partial ^2}f} \over {\partial {z^2}}}$$ is equal to _______.
A
$$0$$
B
$$1$$
C
$$2$$
D
$$- 3{\left( {{x^2} + {y^2} + {z^2}} \right)^{{\raise0.5ex\hbox{{ - 5}} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{2}}}}$$
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