(Numerical Analysis) The value of Euler's number, e, can be approximated by using this formula: e =1++ 1 1. 1 1 +-+. -+ 1! 2! 3! 4! 5! Using this formula, write a C++ program that approximates the value of e, using a while loop that terminates when the difference between two successive approximations is less than 10e-9.

(Numerical Analysis) The value of Euler's number, e, can be approximated by using this formula: e =1++ 1 1. 1 1 +-+. -+ 1! 2! 3! 4! 5! Using this formula, write a C++ program that approximates the value of e, using a while loop that terminates when the difference between two successive approximations is less than 10e-9.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

9. (Numerical Analysis) The value of Euler's number, e, can be approximated by using
this formula:
1
e =1+-+
1
1
1
+
+
1! 2!' 3! 4! 5!
1
+-+...
Using this formula, write a C++ program that approximates the value of e, using a while
loop that terminates when the difference between two successive approximations is less
than 10e-9.

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