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Question

k = limx⎜ ⎜1000k=1(x+k)mxm+101000⎟ ⎟ is (m > 101)


A

10

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B

102

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C

103

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D

104

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Solution

The correct option is C

103


Divide above and below by xm, then

k = limx⎜ ⎜1000k=1(1+kx)m1+101000xm⎟ ⎟

= 1+1+1+...upto 1000 times1+0

= 1000 = 103


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