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Question

limn(0.2)log5(1/4+1/8+1/16+...tonterms) is equal to

A
2
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B
4
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C
8
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D
0
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Solution

The correct option is C 4
limn(15)log514+18+116+...=limn52log5⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜141(12)n112⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟=limn5log5⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜141(12)n112⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟2=limn⎜ ⎜ ⎜ ⎜141(12)n112⎟ ⎟ ⎟ ⎟2=(14×21)2=4

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