:: Not all strictly decreasing functions have a limit of zero.
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In this case the NPV of the payment stream is a strictly decreasing function of interest rate.
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Which means that the derivative is always negative for all n which means that our original function g _ n ( x ) is a strictly decreasing function of n which means that the first function f _ n ( x ) = e ^ { g _ n ( x ) } is also a strictly decreasing function of n because the exponential is a continuous increasing function and hence it preserves the inequality . talk ) 01 : 49, 1 June 2008 ( UTC)
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Which means that the derivative is always negative for all n which means that our original function g _ n ( x ) is a strictly decreasing function of n which means that the first function f _ n ( x ) = e ^ { g _ n ( x ) } is also a strictly decreasing function of n because the exponential is a continuous increasing function and hence it preserves the inequality . talk ) 01 : 49, 1 June 2008 ( UTC)
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