The value of limn→∞ 11.3+13.5+15.7+….+1(2n+1)(2n+3), is

The value of limn11.3+13.5+15.7+.+1(2n+1)(2n+3), is

  1. A

    1

  2. B

    12

  3. C

    -12

  4. D

    none of these 

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    Solution:

    We have,

    limn11.3+13.5+15.7+.+1(2n+1)(2n+3)=12limn113+1315+1517++12n+112n+3=12limn112n+3=12limn2n+22n+3=12

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