1
GATE CSE 2010
MCQ (Single Correct Answer)
+1
-0.3
What is the value of $$\mathop {\lim }\limits_{n \to \infty } {\left[ {1 - {1 \over n}} \right]^{2n}}?$$
A
$$0$$
B
$${e^{ - 2}}$$
C
$${e^{ - 1/2}}$$
D
$$1$$
2
GATE CSE 2008
MCQ (Single Correct Answer)
+1
-0.3
$$\mathop {\lim }\limits_{x \to \infty } {{x - \sin x} \over {x + \cos \,x}}\,\,Equals$$
A
$$1$$
B
$$-1$$
C
$$\infty $$
D
$$ - \infty $$
3
GATE CSE 2008
MCQ (Single Correct Answer)
+1
-0.3
The value of $$\int\limits_0^3 {\int\limits_0^x {\left( {6 - x - y} \right)dxdy\,\,\,} } $$ is _____.
A
$$13.5$$
B
$$27.0$$
C
$$40.5$$
D
$$54.0$$
4
GATE CSE 2007
MCQ (Single Correct Answer)
+1
-0.3
Consider the following two statements about the function $$$f\left( x \right) = \left| x \right|:$$$

$$P.\,\,f\left( x \right)$$ is continuous for all real values of $$x$$
$$Q.\,\,f\left( x \right)$$ is differentiable for all real values of $$x$$

Which of the following is True?

A
$$P$$ is true and $$Q$$ is false.
B
$$P$$ is false and $$Q$$ is true.
C
Both $$P$$ and $$Q$$ are true.
D
Both $$P$$ and $$Q$$ are false.
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