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Question

limn231323+13.331333+13....n31n3+1 equal

A
13
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B
23
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C
1
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D
32
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Solution

The correct option is D 23
Now,
limx23(n2(1+1/n+1/n2)n2(1+1/n))

limx23⎜ ⎜ ⎜1+1n+1n21+1n⎟ ⎟ ⎟

23⎜ ⎜ ⎜1+1+11+1⎟ ⎟ ⎟

23(1+0+01+0)

23×1=23

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