Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Manipal MET2016MathematicsLimits

The value of _ x / 6 2 ^2 x+ x-1 2 ^2 x-3 x+1 is

Options

  1. A3
  2. B-3
  3. C6
  4. D0

Correct answer

B. -3

Step-by-step solution

_ x 6 2 ^2 x+ x-1 2 ^2 x-3 x+1 = _ x 6 4 x x+ x 4 x x-3 x [by L' Hospital's rule] aligned & = _ x 6 x(4 x+1) x(4 x-3) & = 4 6 +1 4 6 -3 =-3 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 Manipal MET PYQs