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Question

The sum of the series 11.212.3+13.4 up to is equal to 


Correct Answer
A
loge(4e)
Your Answer
B
2loge2
Your Answer
C
loge21
Your Answer
D
loge2

Solution

The correct option is C loge(4e)
11.212.3+13.4|Tn|=1n(n+1)=(1n1n+1)S=T1T2+T3T4+T5=(1112)(1213)+(1314)(141415)12[1213+1415]=12[log(1+1)+1]=2log21=log(4e).

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