Problem

If $1, 000 is invested at 5% compounded n times per year, the balance after 1 year will be...

If $1, 000 is invested at 5% compounded n times per year, the balance after 1 year will be 1, 000(1 + 0.05x)1/x , where  is the length of the compounding period. For example, if n = 4, the compounding period is year long. For what is called continuous compounding of interest, the balance after 1 year is given by the limit

Estimate the value of this limit by filling in the second line of the following table:

x

1

0.1

0.01

0.001

0.0001

1, 000(1 + 0.05x) 1/x

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Solutions For Problems in Chapter 1.5