Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT2023MathematicsLimitsActual

_ x 0 | x| x is equal to

Options

  1. A1
  2. B-1
  3. CDoes not exist
  4. DNone of these

Correct answer

C. Does not exist

Step-by-step solution

Let l= _ x 0 [ x] x ; RHL = _ x 0⁺ x x =1 LHL = _ x 0⁻ ( - x x )=- ( _ x 0⁻ x x )=-1 [|x|= array c x if x 0 -x if x 0 array ] As, LHL RHL Hence, limit l .does not exist.

Practice Limits on Quantrex Academy →

More from Limits

Given a real valued function ' f ' such that f(x)= array cc ^2 x x^2-[x]^2 & for x 0 1 & for x=0 x x & for x 0 array . then 2024Let f(x)= x, g(x)= x, h(x)=x^2 then _ x 1 f(g(h(x)))-f(g(h(1))) x-1 = 2024If f(x)= array l x^2-1,0 < x < 2 2 x+3,2 x < 3 array . , then the quadratic equation whose roots are _ x 2⁻ f(x) and _ x 2⁺ f(x) is 2023The value of _ x 0 1- (1- x) x^4 is 2022The value of _ x 0 (1+x)^ 1 x -e+ 1 2 e x x^2 is 2022Value of _ x 0 a^ x -1 x is 2021_ x 0 2 ² 3 x x² is equal to 2021_ x 0 x- x x+ ² x is equal to 2021 Full Limits list All BITSAT PYQs