Limits, Continuity & Differentiability
General
Grade 12
Question:
<p>If limx→0
x2 sin βx
αx−sin x = 1, find 6(α + β).</p>
Step-by-Step Solution
Key Concept: General
<p>For finiteness, \alpha = 1. Limit = 6\beta = 1 =\Rightarrow \beta = 1/6. 6(1 + 1/6) = 7.</p>
Correct Answer: (7)