Limits, Continuity & Differentiability
General
Grade 12
Question:
<p>If β = limx→0
ex3−(1−x3)1/3+((1−x2)1/2−1) sin x
x sin2 x
, find 6β.</p>
Step-by-Step Solution
Key Concept: General
<p>Numerator \approx4x3/3 -x3/2 = 5x3/6. Denom \approxx3. \beta = 5/6 =\Rightarrow 6\beta = 5.</p>
Correct Answer: (5)