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Question

The value of limx1(xn+xn1+xn2+....+x2+xnx1) is

A
n(n+1)2
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B
0
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C
1
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D
n
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Solution

The correct option is B n(n+1)2
limx1(xn+xn1+xn2+...+x2+xn)x1
By L' - Hospital
=limx1nxn1+(n1)xx2+...+2x+11
=n+n1+...+2+1
=n(n+1)2

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