doesn't change the value). The denominator is 48 multiplied by itself 47 times. Because the denominator grows exponentially while the numerator grows factorially, the denominator quickly overwhelms the top of the fraction. The Result The final value of this calculation is approximately . To put that into perspective: Decimal form: 0.00000000000000000119
The graph above shows the "collapse" on a logarithmic scale. Even as the individual terms (like 47/48) approach 1, they are unable to reverse the momentum of the tiny fractions at the start of the chain. (2/48)(3/48)(4/48)(5/48)(6/48)(7/48)(8/48)(9/48...
AI responses may include mistakes. For legal advice, consult a professional. Learn more doesn't change the value)
doesn't change the value). The denominator is 48 multiplied by itself 47 times. Because the denominator grows exponentially while the numerator grows factorially, the denominator quickly overwhelms the top of the fraction. The Result The final value of this calculation is approximately . To put that into perspective: Decimal form: 0.00000000000000000119
The graph above shows the "collapse" on a logarithmic scale. Even as the individual terms (like 47/48) approach 1, they are unable to reverse the momentum of the tiny fractions at the start of the chain.
AI responses may include mistakes. For legal advice, consult a professional. Learn more