Question 2 We consider compound interest with a nominal annual rate r compounded n times per year. The value V(t) of an initial investment Vo after t years is given by V = V (1+)". r nt (a) For fixed Vo, r, and t, the limit lim V is indeterminate. What type of indeterminate form is it? (b) Continuously compounded interest is obtained by compounding more and more frequently. Find lim V.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
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Question 2 We consider compound interest with a nominal annual rate r compounded n times per year. The value
V (t) of an initial investment Vo after t years is given by
V = % (1 -".
nt
(a) For fixed Vo, r, and t, the limit lim V is indeterminate. What type of indeterminate form is it?
(b) Continuously compounded interest is obtained by compounding more and more frequently. Find
lim V.
n00
Transcribed Image Text:Question 2 We consider compound interest with a nominal annual rate r compounded n times per year. The value V (t) of an initial investment Vo after t years is given by V = % (1 -". nt (a) For fixed Vo, r, and t, the limit lim V is indeterminate. What type of indeterminate form is it? (b) Continuously compounded interest is obtained by compounding more and more frequently. Find lim V. n00
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