Limits, Continuity & Differentiability
General
Grade 12
Question:
<p>The value of limx→∞
x2−2x+1
x2−4x+2
x
is:</p>
Step-by-Step Solution
Key Concept: General
<p>This is a 1\inftyform. Limit = elimx\to \inftyx</p> h x2-2x+1 x2-4x+2 -1 i = elimx\to \inftyx h 2x-1 x2-4x+2 i Coefficient ratio for high powers gives e2.
Correct Answer: 4