If _ x 0 (cos x + a sin bx) 1/x = e 2 , then the values of a and b are
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
If \(\lim _{x \rightarrow 0}\) (cos x + a sin bx)1/x = e2, then the values of a and b are
- a = 1, b = 2
- a = 2, b = 1/2
- \(\mathrm{a}=2 \sqrt{2}, \mathrm{~b}=\frac{1}{\sqrt{2}}\)
- a = 4, b = 2
Answer
(A) a = 1, b = 2, (C) a =2 2 , ~b = 1 2
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Let U(x) and V(x) are differentiable functions such that U(x) V(x) =7 . If U ^ ( x ) V ^ ( x ) = p and ( V (…
- Let f(x)= x x^ 2 , x>0 Let x 1 x 2 x 3 ..... x n f and y 1 y 2 y 3 y n f . Then which of the following…
- _ n 1 n _ r=1 ^ 2 n r n^ 2 +r^ 2
- Consider all rectangles lying in the region (x, y) R R: 0 x 2 and 0 y 2 (2 x) and having one side on the x…
- If f (x) = |x –1| and g (x) = f [ f f (x) ], then for x >2, g ’ (x) is equal to
- Let y = x 3 – 8x + 7 and x = f (t). If dy dt = 2 and x = 3 at t = 0, then dx dt at t = 0 is given by
- 112. Let f ( x ) = (1 – x ) 2 sin 2 x + x 2 for all x ∈ R , and let for all x ∈ (1, ∞). Which of the…
- If a continuous function f defined on the real line R ; assumes positive and negative values in R then the…
More Limit, Continuity and Differentiability questions · Browse all practice questions