Limits, Continuity & Differentiability
General
Grade 12
Question:
<p>Find g(x) = −x4b where b = limx→∞(
√
x2 + x + 1 −
√
x2 + 1).</p>
Step-by-Step Solution
Key Concept: General
<p>Rationalization gives b = 1/2. Thus g(x) = -x4(1/2) = -x2.</p>
Correct Answer: 1