Math & Numbers
Numeric convergence tests for Σ aₙ: nth-term, ratio, root, p-series comparison, and integral test; alternating series classified by Leibniz with a sum estimate.
Call this tool from your code in three languages.
curl -X POST 'https://api.elysiatools.com/en/api/tools/series-convergence-tester' \
-H 'Content-Type: application/json' \
-d '{"aNExpr":"1/n^2","decimalPlaces":4}'Send a POST request with your inputs as JSON. File parameters require a separate upload first.
POST https://api.elysiatools.com/en/api/tools/series-convergence-tester| Name | Type | Required | Description |
|---|---|---|---|
| aNExpr | text | Yes | The general term aₙ as an expression of n (n starts at 1). Supports + - * / ^, parentheses, and functions like exp, sin, cos, sqrt, ln. Alternating signs (e.g. cos(pi*n)) are detected. |
| decimalPlaces | number | No | — |
Text result
{
"result": "Processed text content",
"error": "Error message (optional)",
"message": "Notification message (optional)",
"metadata": {
"key": "value"
}
}Add this tool to your Model Context Protocol server so AI agents can list and call it.
Add this block to your MCP client configuration:
{
"mcpServers": {
"elysiatools-series-convergence-tester": {
"name": "series-convergence-tester",
"description": "Numeric convergence tests for Σ aₙ: nth-term, ratio, root, p-series comparison, and integral test; alternating series classified by Leibniz with a sum estimate.",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=series-convergence-tester",
"command": "",
"args": [],
"env": {},
"isActive": true,
"type": "sse"
}
}
}After connecting to the SSE endpoint, list the exposed tools:
{
"jsonrpc": "2.0",
"id": 1,
"method": "tools/list"
}Invoke the tool by its id, passing arguments built from its parameters:
{
"jsonrpc": "2.0",
"id": 2,
"method": "tools/call",
"params": {
"name": "series-convergence-tester",
"arguments": {
"aNExpr": "1/n^2",
"decimalPlaces": 4
}
}
}Questions or issues? Contact [email protected]