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Question

The value of limx0[[100xsinx]+[99sinxx]], where [.] denotes the greatest integer function is

A
197
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B
198
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C
199
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D
does not exist
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Solution

The correct option is B 198
For x>0sinxx<1
99sinxx<99,[99sinxx]=98
xsinx>1[100xsinx]=100RHL=100+98=198
Similarly LHL = 198

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