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  1. loge3
  2. loge2
  3. 0
  4. - 1

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Option 1 : loge3
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Detailed Solution

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The correct option is ( 1 ) .

Concept : 

A sequence's limit is the value it gets closer to as the number of terms approaches infinity. Sequences that exhibit this tendency are known as convergent, whereas sequences that do not are known as divergent.

Calculation : 

Given,

⇒ 

=   ......( i )

let  , ⇒ 

when r = 0 , then x = 0

⇒ when r = 2n , then x = 2 

⇒ I = 

     = 

    = 

    = 

Hence,the correct option is ( 1 ) .

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