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.
GATE CSE Subjects
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
CBSE
Class 12