---
title: "C.FGR.2: Limits and Continuity (Georgia Mathematics standard)"
code: C.FGR.2
cite_as: Georgia Standards of Excellence, Mathematics, C.FGR.2
subject: math
grades:
  - high-school
language: en
canonical_url: https://georgiahomeroom.org/standards/code/C.FGR.2
md_url: https://georgiahomeroom.org/standards/code/C.FGR.2.md
alternate_language_url: https://georgiahomeroom.org/es/standards/code/C.FGR.2.md
source_url: https://case.georgiastandards.org/ims/case/v1p1/CFDocuments/e9dd7229-3558-4df2-85c6-57b8938f6180
source_last_changed: 2024-10-09
data_built: 2026-09-18
publisher: Georgia Homeroom, a free public-interest project of Georgia Civic Data. Not affiliated with or endorsed by the Georgia Department of Education or any school district.
up: https://georgiahomeroom.org/standards/math/high-school.md
index: https://georgiahomeroom.org/standards/index.md
---

# C.FGR.2: Limits and Continuity

Apply limit notation and characteristics of continuity to analyze behaviors of functions.

- Subject: Mathematics
- Appears in: High School, https://georgiahomeroom.org/standards/math/high-school.md

## Expectations

- Determine limits graphically, numerically, and analytically.
  - **C.FGR.2.1**: Estimate limits from graphs and tables of values.
  - **C.FGR.2.2**: Find limits of sums, differences, products, and quotients using substitution.
  - **C.FGR.2.3**: Represent asymptotic behavior using limits.
  - **C.FGR.2.4**: Find limits of rational functions using algebraic techniques.
  - **C.FGR.2.5**: Demonstrate continuity at a point using the definition and limit notation.
  - **C.FGR.2.6**: Apply the Intermediate Value Theorem to a function over a closed interval.

## Georgia Milestones coverage

No Georgia Milestones blueprint cites this standard.

Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.