Let f : (0, 1) → be the function defined as where n ∈ . Let g : (0, 1) → be a function…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
Let f : (0, 1) → 
be the function defined as
where n ∈ 
.
Let g : (0, 1) → be a function such that
\[\int_{x^{2}}^{x} \sqrt{\frac{1-t}{t}} d tx ∈ (0, 1).
Then
be the function defined as where n ∈ . Let g : (0, 1) →
be a function such that \[\int_{x^{2}}^{x} \sqrt{\frac{1-t}{t}} d t
Then
- does NOT exist
- is equal to 1
- is equal to 2
- is equal to 3
Answer
(C) is equal to 2
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) = sin x, g (x) = 2x and h (x) = cos x. If φ (x) = [go (f h)] (x), then φ “ ( 4 ) is equal to
- Let f : (0, 1) → be the function defined as f ( x ) = [4 x] (x- 1 4 )^ 2 (x- 1 2 ), where [ x ] denotes the…
- Let f : [0, 1] → R (the set of all real numbers) be a function. Suppose the function f is twice…
- If y = a ln x + bx 2 + x has its extremum values at x = –1 and x = 2, then
- Let f (x) = a + b |x| + c |x| 4 , where a, b and c are real constants. Then f (x) is differentiable at x = 0…
- If _ x 0 x(1+a x)-b x x^ 3 =1, then
- _ n 1^ p +2^ p +3^ p + +n^ p n^ p+1 is
- A curve is represented parametrically by the equations x = f ( t )= a ^ ( b ^ t ) and y = g ( t )= b ^ - ( a…
More Limit, Continuity and Differentiability questions · Browse all practice questions