1
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
$$1$$
2
GATE CE 1998
MCQ (Single Correct Answer)
+1
-0.3
A discontinuous real function can be expressed as
A
Taylor's series and Fourier's series
B
Taylor's series and not by Fourier's series
C
Neither Taylor's series nor Fourier's series
D
not by Taylor's series, but by Fourier's series
3
GATE CE 1998
MCQ (Single Correct Answer)
+1
-0.3
The Taylor's series expansion of sin $$x$$ is ______.
A
$$1 - {{{x^2}} \over {2!}} + {{{x^4}} \over {4!}} - ......$$
B
$$1 + {{{x^2}} \over {4!}} + {{{x^4}} \over {4!}} + ......$$
C
$$x + {{{x^3}} \over {3!}} + {{{x^5}} \over {5!}} + ......$$
D
$$x - {{{x^3}} \over {3!}} + {{{x^5}} \over {5!}} - ......$$
4
GATE CE 1998
MCQ (Single Correct Answer)
+1
-0.3
The continuous function $$f(x, y)$$ is said to have saddle point at $$(a, b)$$ if
A
$${f_x}\left( {a,\,b} \right) = {f_y}\left( {a,\,b} \right) = 0$$
$$f_{xy}^2 - {f_{xx}}{f_{yy}} < 0$$ at $$(a, b)$$
B
$${f_x}\left( {a,\,b} \right) = 0,{f_y}\left( {a,\,b} \right) = 0$$
$$f_{xy}^2 - {f_{xx}}{f_{yy}} > 0$$ at $$(a, b)$$
C
$${f_x}\left( {a,\,b} \right) = 0,{f_y}\left( {a,\,b} \right) = 0,$$
$${f_{xx}}$$ and $${f_{yy}} < 0$$ at $$(a, b)$$
D
$${f_x}\left( {a,\,b} \right) = 0,{f_y}\left( {a,\,b} \right) = 0$$
$$f_{xy}^2 - {f_{xx}}{f_{yy}} = 0\,\,$$ at $$(a, b)$$
GATE CE Subjects
Fluid Mechanics and Hydraulic Machines
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
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CBSE
Class 12