If you initially invest $1 at an interest rate of 2% compounded n times per year, the value of the investment after t years is AO) - (1 + )". nt 0.02 n If we let n → 0, we say that the interest is compounding continuously. Calculate lim A(t). n-00

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.2: The Natural Exponential Function
Problem 2E
icon
Related questions
Question
If you initially invest $1 at an interest rate of 2% compounded n times per year, the value of the
investment after t years is
nt
0.02
A(t) = (1+
n
If we let n → 0, we say that the interest is compounding continuously.
Calculate lim A(t).
Transcribed Image Text:If you initially invest $1 at an interest rate of 2% compounded n times per year, the value of the investment after t years is nt 0.02 A(t) = (1+ n If we let n → 0, we say that the interest is compounding continuously. Calculate lim A(t).
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage