Math Problem Statement
Calculate the following limit exactly: lim 𝑥→∞ 𝑓(𝑥) where 𝑓(𝑥)= √144𝑥2 +𝑥−12𝑥.
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Limits
Binomial Approximation
Formulas
lim x→∞ f(x) = √(144x² + x) − 12x
Binomial Expansion: √(1 + u) ≈ 1 + u/2 for small u
Theorems
Limit Theorem
Binomial Approximation for Square Roots
Suitable Grade Level
Undergraduate Calculus
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