1
GATE EE 1995
MCQ (Single Correct Answer)
+1
-0.3
$$\mathop {Lim}\limits_{x \to \infty } \,x\sin {\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle x$}} = \_\_\_\_\_.$$
A
$$ \propto $$
B
$$0$$
C
$$1$$
D
Does not exist
2
GATE EE 1995
MCQ (Single Correct Answer)
+1
-0.3
If $$f(0)=2$$ and $$f'\left( x \right) = {1 \over {5 - {x^2}}},$$ then the lower and upper bounds of $$f(1)$$ estimated by the mean value theorem are ______.
A
$$1.9,2.2$$
B
$$2.2, 2.25$$
C
$$2.25, 2.5$$
D
None of the above
3
GATE EE 1994
MCQ (Single Correct Answer)
+1
-0.3
The integration of $$\int {{\mathop{\rm logx}\nolimits} \,dx} $$ has the value
A
$$\left( {x\log x - 1} \right)$$
B
$${\log x - x}$$
C
$$x\left( {\log x - 1} \right)$$
D
None of the above
4
GATE EE 1994
MCQ (Single Correct Answer)
+1
-0.3
The volume generated by revolving the area bounded by the parabola $${y^2} = 8x$$ and the line $$x=2$$ about $$y$$-axis is
A
$${{128\pi } \over 5}$$
B
$${5 \over {128\pi }}$$
C
$${{127} \over {5\pi }}$$
D
None of the above
GATE EE Subjects
EXAM MAP
Joint Entrance Examination
JEE MainJEE AdvancedWB JEEBITSATMHT CET
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN