Let [t] denote the greatest integer ≤ t and _ x 0 x [ 4 x ]=A . Then the function, f(x)=…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
Let [t] denote the greatest integer ≤ t and \(\lim _{x \rightarrow 0} x\left[\frac{4}{x}\right]=A\). Then the function, \(f(x)=\left[x^{2}\right] \sin (\pi x)\) is discontinuous, when x is equal to :
- \(\sqrt{A}\)
- \(\sqrt{A+1}\)
- \(\sqrt{A+5}\)
- \(\sqrt{A+Z 1}\)
Answer
(A) A
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- _ x 0 e^ 1 x -1 e^ 1 x +1 =
- The points of extrema of f(x)= _ 0 ^ x t t d t in the domain x>0 are :
- Let f (x) = array lll -x^ 2 , & for & x y = f (x) is
- Let f (x) = x m/n for x ∈ R where m and n are integers, m even and n odd and 0 < m < n. Then
- Evaluate _ h a (a+h)^ 2 (a+h)-a^ 2 a h
- _ x 3 ([x-3]+[3-x]-x), where [.] denotes the greatest integer function, is equal to
- Consider a function f( x )= ( - 1 - x ) (4 – 3x 2 ) where ‘α’ is a positive parameter Least possible value of…
- The function y=a(1- x), a>0 is maximum when x is equal to :
More Limit, Continuity and Differentiability questions · Browse all practice questions