GATE EE 1995 | Calculus Question 41 | Engineering Mathematics

GATE EE 1995

MCQ (Single Correct Answer)

-0.3

$$\mathop {Lim}\limits_{x \to \infty } \,x\sin {\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle x$}} = \_\_\_\_\_.$$

$$ \propto $$

$$0$$

$$1$$

Does not exist

GATE EE 1994

MCQ (Single Correct Answer)

-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

$${{128\pi } \over 5}$$

$${5 \over {128\pi }}$$

$${{127} \over {5\pi }}$$

None of the above

GATE EE 1994

MCQ (Single Correct Answer)

-0.3

The integration of $$\int {{\mathop{\rm logx}\nolimits} \,dx} $$ has the value

$$\left( {x\log x - 1} \right)$$

$${\log x - x}$$

$$x\left( {\log x - 1} \right)$$

None of the above

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