Math Problem Statement
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Solution
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Math Problem Analysis
Mathematical Concepts
Limits
Exponential Functions
Series Expansion
Calculus
Formulas
lim_{h→0} (7e^x - 7e^{x+h}) / 4h
e^{x+h} = e^x * e^h
e^h ≈ 1 + h + h^2 / 2! + ... (for small h)
Theorems
Taylor Series Expansion
Limit Definition of the Derivative
Suitable Grade Level
University Level - Calculus I
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