Limits, Continuity & Differentiability
Standard Limits
Grade None
Question:
<p>For <span class="math inline">\(x \to 0\)</span>, <span class="math inline">\(\frac{\sin x}{x}\)</span> is</p>
<p>(a) 0</p>
<p>(b) –1</p>
<p>(c) 1</p>
<p>(d) 2</p>
Step-by-Step Solution
Key Concept: The fundamental trigonometric limit is a standard result in calculus.
<p>This is the standard limit: <span class="math inline">$\lim_{x \to 0} \frac{\sin x}{x} = 1$</span></p>
Correct Answer: C