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If f (x) = ( x - 1) ^(100) ( x - 2) ^(2...

If ` f (x) = ( x - 1) ^(100) ( x - 2) ^(2 (99)) ( x - 3)^(3(98)) . . . ( x - 100) ^(100)` , then the value of ` ( f' (101))/( f(101))` is a)5050 b)2575 c)3030 d)1250

A

5050

B

2575

C

3030

D

1250

Text Solution

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The correct Answer is:
A
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