Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202421 May 2024Morning ShiftMathematicsLimitsActual

If f(x)= 5 x cosec ( x )-1 (x-2) cosec ( x ) , then _ x f (x^2 )=

Options

  1. A1
  2. B-1
  3. C5
  4. D-5

Correct answer

C. 5

Step-by-step solution

aligned & f(x)= 5 x cosec ( x )-1 (x-2) cosec ( x ) & f (x^2 )= 5 x^2 cosec x-1 (x^2-2 ) cosec x = 5 x^2 x^2-2 - x x^2-2 & _ x f (x^2 )= _ x [ 5 x^2 x^2-2 - x x^2-2 ] & = _ x [ 10 x 2 x -0 ]=5 aligned

Practice Limits on Quantrex Academy →

More from Limits

If _ x 0 ( p 2x + 1 - 2x x + x ) = 1 then the value of ' p ' is 2026_ x 2 ( 1 - x x ) is equal to 2026The value of _ x 3 [ 1 x-3 + 9x 27-x^3 ] is: 2026_ x 0 (1 - 2x)(3 + x) x 4x is equal to: 2026If _ x 3 ( x^2 - ax - 3b x - 3 ) = 5 , then a + b = 2026If f(x) = cases x^2 - 1 & if x 2 x + 1 & if x < 2 cases , then _ x 1 f(x) + _ x 2 f(x) = 2026_ x 4 2 2 -( x+ x)^3 1- 2 x = 2025Let [x] denote the greatest integer less than or equal to x . Then _ x 2⁺ ( [x]^3 3 - [ x 3 ]^3 )= 2025 Full Limits list All AP EAMCET PYQs