a) Using L. Hospital's rule, find the limit of \( \lim_{x… – Class 12 Mathematics 2083 Solved

Class 12 Mathematics · 2083 · Solved Question with Answer

a) Using L. Hospital's rule, find the limit of \( \lim_{x \to 0} \left( \frac{x - \sin x}{x^2} \right) \)

b) Solve:\( \sqrt[3]{\frac{dy}{dx} + \frac{1}{x}y} = x \)

Solution

a) Using L. Hospital's rule, find the limit of \( \lim_{x \to 0} \left( \frac{x - \sin x}{x^2} \right) \) b) Solve: \( \sqrt[3]{\frac{dy}{dx} +…