Limits, Continuity & Differentiability
General
Grade 12
Question:
<p>limx→∞
(√3x+1+√3x−1)6+(√3x+1−√3x−1)6
(x+
√
x2−1)6+(x−
√
x2−1)6
· x3</p>
Step-by-Step Solution
Key Concept: General
<p>Dominant terms ratio: (2</p> \sqrt 3x)6 (2x)6 \cdot x3 = 64 \cdot 27x3 64x6 \cdot x3 = 27. Option (2).
Correct Answer: (2)