JEE maths#6

Calculus Level 3

\[\large f(x) = (x-1)^{100}(x-2)^{2(99)}(x-3)^{3(98)} \cdots (x-100)^{100} \]

For \(f(x)\) as defined above, if \(k = \dfrac {f'(101)}{f(101)}\), find \(\dfrac k{50}-97\).

  • For more JEE problems try my set 1
  • For KVPY practice questions try my set 2
View solutions
View wiki
Rahil Sehgal by Rahil Sehgal
×

Problem Loading...

Note Loading...

Set Loading...