(2/43)(3/43)(4/43)(5/43)(6/43)(7/43)(8/43)(9/43... Direct
, which will eventually cause the product to grow toward infinity. 3. Express using factorials If the product continues up to a specific integer , it can be written compactly using factorial notation:
k!43k−1the fraction with numerator k exclamation mark and denominator 43 raised to the k minus 1 power end-fraction (Note: We divide by 43k−143 raised to the k minus 1 power because there are terms in the sequence starting from 📉 Product Behavior Visualization (2/43)(3/43)(4/43)(5/43)(6/43)(7/43)(8/43)(9/43...
, causing the total product to decrease rapidly toward zero. When , the term is , which does not change the product's value. Terms > 1: For , each fraction is greater than , which will eventually cause the product to