1
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
The sum of series $${1 \over {2\,!}} + {1 \over {4\,!}} + {1 \over {6\,!}} + ........$$ is
A
$${{\left( {{e^2} - 2} \right)} \over e}\,$$
B
$${{{{\left( {e - 1} \right)}^2}} \over {2e}}$$
C
$${{\left( {{e^2} - 1} \right)} \over {2e}}\,$$
D
$${{\left( {{e^2} - 1} \right)} \over 2}$$
2
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
The sum of the serier $${1 \over {1.2}} - {1 \over {2.3}} + {1 \over {3.4}}..............$$ up to $$\infty $$ is equal to
A
$$\log {\,_e}\left( {{4 \over e}} \right)\,\,$$
B
$$2\,\log {\,_e}2$$
C
$$\log {\,_e}2 - 1\,$$
D
$$\log {\,_e}2$$
3
AIEEE 2002
MCQ (Single Correct Answer)
+4
-1
Change Language
If 1, $${\log _9}\,\,({3^{1 - x}} + 2),\,\,{\log _3}\,\,({4.3^x} - 1)$$ are in A.P. then x equals
A
$${\log _3}\,4\,\,\,$$
B
$$1 - \,{\log _3}\,4\,$$
C
$$1 - \,{\log _4}\,3$$
D
$${\log _4}\,3$$
4
AIEEE 2002
MCQ (Single Correct Answer)
+4
-1
Change Language
l, m, n are the $${p^{th}}$$, $${q^{th}}$$ and $${r^{th}}$$ term of a G.P all positive, $$then\,\left| {\matrix{ {\log \,l} & p & 1 \cr {\log \,m} & q & 1 \cr {\log \,n} & r & 1 \cr } } \right|\,equals$$
A
- 1
B
2
C
1
D
0
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