MP Board · Class 11 · Mathematics · Limits and DerivativesEvaluate $\lim{x \to 0} \frac{\cos x - 1}{x}$.
Step-by-Step Solution
Using $\cos x - 1 = -2 \sin^2(x/2)$, the limit evaluates to 0.
Detailed Options Breakdown
Option : 1
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Limits and Derivatives.
Option 1: 0 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: -1
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Limits and Derivatives.
Option 3: 2
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.