Evaluate _ h a (a+h)^ 2 (a+h)-a^ 2 a h
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
Evaluate \(\lim _{h \rightarrow a} \frac{(a+h)^{2} \sin (a+h)-a^{2} \sin a}{h}\)
- sin a
- cos a + sin a
- a (a cos a + 2 sin a)
- none of these
Answer
(D) none of these
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If f (x) = l og |x|, x ≠ 0 then f ′(x) equals
- The left hand derivative of f(x)=[x] ( x) at x=k, k is an integer is
- _ x 0 x^ 2 +1 -1 x^ 2 +9 -3 is equal to
- The curves x 3 + p xy 2 = –2 and 3x 2 y – y 3 = 2 are orthogonal for
- For the curve y = 3 sin cos , x=e^ , 0 , the tangent is parallel to x-axis when is:
- Let (h, k) be a fixed point, where h > 0, k > 0 . A straight line passing through this point cuts the…
- Find the shortest distance between xy = 9 and x 2 +y 2 = 1 .
- Assertion : The minimum distance of the fixed point (0, y 0 ), where 0 y _ 0 1 2 , from the curve y = x 2 is…
More Limit, Continuity and Differentiability questions · Browse all practice questions