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Most Important Selected Qs for JEE AdvancedMathematicsLimits

If _ t x _x^t ⁻¹(n z) d z t^2-x^2 =f_n(x) then find the value of _ x 0 ( [f₂(x) ]+ [f₄(x) ] ) [Note: [k] denotes greatest integer function less than or equal to k ]

Correct answer

3

Step-by-step solution

f_n(x)= _ t x ⁻¹ n t 2 t = ⁻¹ n x 2 x Now, _ x 0 ( [ ^2 2 x 2 x ]+ [ ⁻¹ 4 x 2 x ] )=1+2=3

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