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MathProblem 31 Compound interest problem #1

时间:2022-08-15 02:11:19浏览次数:70  
标签:compounded 31 Compound MathProblem interest year problem rightarrow

What is the value of $1, invested for one year at 100% interest, compounded infinitely?

Solution

Generally, the value of $1 invested for \(n\) years at interest rate \(i\), compounded \(x\) times per year:

\[(1+i/x)^{nx} \]

对于原问题,\(n=1,x\rightarrow \infin\):

\[\lim_{x\rightarrow \infin}(1+1/x)^x=e \]

标签:compounded,31,Compound,MathProblem,interest,year,problem,rightarrow
From: https://www.cnblogs.com/xinyu04/p/16586891.html

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