Math Problem Statement
good formula for small values of x in x+e^x-e^3x
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Taylor Series Expansion
Exponential Functions
Formulas
Taylor series for e^x: e^x ≈ 1 + x + x^2/2 + x^3/6 + ...
Taylor series for e^(3x): e^(3x) ≈ 1 + 3x + (3x)^2/2 + (3x)^3/6 + ...
Theorems
Taylor Series Approximation
Suitable Grade Level
Grade 12 or College Calculus