Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Continuity
Limits
Exponential Functions
Formulas
\[ \lim_{x \to 0^-} f(x) = \frac{3^x}{1 - e^{-4x}} \]
\[ \lim_{x \to 0^+} f(x) = \frac{3^x}{1 - e^{-4x}} \]
Discontinuity occurs when the denominator is zero
Theorems
Continuity at a point
Limit theorems
Suitable Grade Level
Undergraduate Calculus
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