Global Calc Box logoGlobal Calc Box

Step-by-step walkthrough

Limits Calculator Guide

Use this companion guide beside the interactive calculator to make sure you understand the “why” behind every click. Each section includes the classroom explanation, student-friendly language, and quick practice prompts.

Open calculatorSee example

Before you start

Collect the data points listed below and double-check their units. Keeping an organized “givens” list is one of the fastest ways to reduce math errors and impress exam graders.

  • limit
  • left-hand limit
  • right-hand limit

Detailed procedure

  1. Step 1

    Enter f(x) and the point x₀ you want to approach.

  2. Step 2

    Select whether to evaluate the two-sided limit or only from the left/right.

  3. Step 3

    Review the sampled values and the resulting limit determination.

Teaching & troubleshooting tips

What if the sides disagree?

The calculator reports that the two-sided limit does not exist when left and right samples diverge.

Can it handle limits at infinity?

Supply large positive or negative numbers to approximate limits at infinity for now.

Next steps

Return to the interactive calculator to apply the steps above.Review the worked example and try the learner prompts.