diff --git a/arithmetic_analysis/newton_raphson.py b/arithmetic_analysis/newton_raphson.py
index e557f40e7..36271f59e 100644
--- a/arithmetic_analysis/newton_raphson.py
+++ b/arithmetic_analysis/newton_raphson.py
@@ -33,6 +33,9 @@ def newton_raphson(
         ...
     ValueError: precision must be greater than zero
     """
+    if precision <= 0:
+        raise ValueError("precision must be greater than zero")
+        
     x = start_point
     symbol = symbols("x")