Math Problem Statement

lim (x^2 + 2x - 1) as x approaches -2

Solution

The image shows the limit problem:

limx2(x2+2x1)\lim_{x \to -2} (x^2 + 2x - 1)

To solve this, we substitute x=2x = -2 directly into the function:

  1. First, calculate x2x^2 where x=2x = -2: (2)2=4(-2)^2 = 4

  2. Next, calculate (2x\

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Math Problem Analysis

Mathematical Concepts

Limits
Substitution
Polynomial Functions

Formulas

Direct Substitution in Limits

Theorems

Limit Theorem for Polynomial Functions

Suitable Grade Level

Grades 10-12