NCERT · Class 11 · Mathematics · Limits and DerivativesEvaluate $\lim{x \to 0} \frac{\tan x}{x}$.
Step-by-Step Solution
संबंध $\tan x = \frac{\sin x}{\cos x}$ का उपयोग करके, हमें $\lim_{x \to 0} \frac{\sin x}{x \cos x} = \left(\lim_{x \to 0} \frac{\sin x}{x}\right) \cdot \left(\lim_{x \to 0} \frac{1}{\cos x}\right) = 1 \cdot 1 = 1$ प्राप्त होता है।
Detailed Options Breakdown
Option : 0
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Limits and Derivatives.
Option 1: 1 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: Infinity
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Limits and Derivatives.
Option 3: -1
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Limits and Derivatives.
💡 Study Guide: This question tests core syllabus concepts from Limits and Derivatives. For formulas, key summaries, and mock exam reference guides, read the full Limits and Derivatives Revision Notes.