GATE ME 2012 | Calculus Question 29 | Engineering Mathematics

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GATE ME 2012

MCQ (Single Correct Answer)

-0.3

$$\,\mathop {Lim}\limits_{x \to 0} \left( {{{1 - \cos x} \over {{x^2}}}} \right)$$ is

$$1/4$$

$$1/2$$

$$1$$

$$2$$

GATE ME 2012

MCQ (Single Correct Answer)

-0.3

The area enclosed between the straight line $$y=x$$ and the parabola $$y = {x^2}$$ in the $$x-y$$ plane is

$$1/6$$

$$1/4$$

$$1/3$$

$$1/2$$

GATE ME 2011

MCQ (Single Correct Answer)

-0.3

A series expansion for the function $$\sin \theta $$ is _______.

$$1 - {{{\theta ^2}} \over {2!}} + {{{\theta ^4}} \over {4!}} - ......$$

$$\theta - {{{\theta ^3}} \over {3!}} + {{{\theta ^5}} \over {5!}} - ......$$

$$1 + \theta + {{{\theta ^2}} \over {2!}} + {{{\theta ^3}} \over {3!}} + ......$$

$$\theta + {{{\theta ^3}} \over {3!}} + {{{\theta ^5}} \over {5!}} + ......$$

GATE ME 2011

MCQ (Single Correct Answer)

-0.3

What is $$\mathop {Lim}\limits_{\theta \to 0} {{\sin \theta } \over \theta }\,\,$$ equal to ?

$$\theta $$

$$sin$$$$\theta $$

$$0$$

$$1$$

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