1
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
$$x - {{{x^3}} \over {3!}} + {{{x^5}} \over {5!}} - ......$$
2
GATE CE 1997
MCQ (Single Correct Answer)
+1
-0.3
If $$\varphi \left( x \right) = \int\limits_0^{{x^2}} {\sqrt t \,dt\,} $$ then $${{d\varphi } \over {dx}} = \_\_\_\_\_\_\_.$$
A
$$2\,{x^2}$$
B
$$\sqrt x $$
C
$$0$$
D
$$1$$
3
GATE CE 1997
MCQ (Single Correct Answer)
+1
-0.3
If $$y = \left| x \right|$$ for $$x < 0$$ and $$y=x$$ for $$x \ge 0$$ then
A
$${{dy} \over {dx}}$$ is discontinuous at $$x=0$$
B
$$y$$ is discontinuous at $$x=0$$
C
$$y$$ is not defined at $$x=0$$
D
Both $$y$$ and $${{dy} \over {dx}}$$ are discontinuous at $$x=0$$
4
GATE CE 1995
MCQ (Single Correct Answer)
+1
-0.3
The function $$f\left( x \right) = \left| {x + 1} \right|$$ on the interval $$\left[ { - 2,0} \right]$$ is __________.
A
continuous and differentiable
B
continuous on the interval but not differentiable at all points
C
Neither continuous nor differentiable
D
Differentiable but not continuous
GATE CE Subjects
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