Let f : R → (0, 1) be a continuous function. Then, which of the following function(s) has…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
Let f : R → (0, 1) be a continuous function. Then, which of the following function(s) has (have) the value zero at some point in the interval (0, 1)?
- x9 – f(x)



Answer
(B)
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Let f(x)= array cl x^ 2 | x |, & x 0 0, & x=0 array , x R, . then f is
- If f(x)= _ 0 ^ x e^ t^ 2 (t-2)(t-3) d t for all x ∈ (0, ∞), then
- The function f ( x ) = max (1 – x ), (1 + x ), 2 , x ∈(–∞ , ∞), is
- There exists a function f ( x ) satisfying f (0) = 1, f ′(0) = –1, f ( x ) > 0 for all x and
- Let f(x)=x^ n , n ~W . The number of values of n for which f^ (p+q)=f^ (p)+f^ (q) is valid for all +ve p & q…
- Let f : R → (0, ∞) and g : R → R be twice differentiable functions such that f ′′ and g ′′ are continuous…
- The integer n , for which _ x 0 ( x-1) ( x-e^ x ) x^ n is a finite non-zero number is
- Let f : R → R be such that f (1) = 3 and f ′(1) = 6, then _ x 0 ( f(1+x) f(1) )^ 1 x equals
More Limit, Continuity and Differentiability questions · Browse all practice questions