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