For any positive integer n , define f n : (0, ∞) → R as for all x ∈ (0, ∞) Here, the…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
For any positive integer n, define f n : (0, ∞) → R as
for all x ∈ (0, ∞)
Here, the inverse trigonometric function tan–1x assumes values in \(\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)\).
Then, which of the following statement(s) is (are) TRUE?
for all x ∈ (0, ∞) Here, the inverse trigonometric function tan–1x assumes values in \(\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)\). Then, which of the following statement(s) is (are) TRUE?
- For any fixed positive integer n,
- For any fixed positive integer n,
Answer
(C) For any fixed positive integer n ,
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Let f : ℝ → ℝ and g : ℝ → ℝ be functions satisfying f ( x + y ) = f ( x ) + f ( y ) + f ( x ) f ( y ) and f (…
- Suppose f and g are functions having second derivatives f” and g” everywhere, if f (x) . g (x) = 1 for all x…
- The value of Limit _ x 0 ( x)- x x^ 4 is equal to
- Let f(x)= array cc e^ x , & 0 x 1 2-e^ x-1 , & 1 and g(x)= _ 0 ^ x f(t) d t, x [1,3] then g ( x ) has
- _ x 2 x-( x)^ x 1- x+ x equals
- Suppose the function f(x) – f(2x) has the derivative 5 at x = 1 and derivative 7 at x = 2 . The derivative of…
- Let f(x)= array cl x^ 2 | x |, & x 0 0, & x=0 array , x R, . then f is
- If f (x) = x^ 2 -10 x+25 , then the derivative of f (x) on the interval [0, 7] is
More Limit, Continuity and Differentiability questions · Browse all practice questions