Math Problem Statement

in no.2, the exponent of e is t, replace + 13 to 3x, and replace + 14 to + 4

In no.2, the exponent of e is t, replace + 13 to 3x, and replace + 14 to + 4

Solution

Got it! Let's update question 2 based on your instructions. Here's the revised problem:


Original Problem 2:

limx0et1t+x2+13x+14x+3\lim_{x \to 0} \frac{e^t - 1}{t} + \frac{x^2 + 13x + 14}{x + 3}


Updated Problem 2:

limx0et1t+x2+3x+4x+3\lim_{x \to 0} \frac{e^t - 1}{t} + \frac{x^2 + 3x + 4}{x + 3}

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Math Problem Analysis

Mathematical Concepts

Limits
Exponential Functions
Polynomial Simplification

Formulas

Limit definition
Simplification of rational expressions

Theorems

Limit Laws
Polynomial Factorization

Suitable Grade Level

Grades 10-12