Again from tonight's class prep. Such scripts might be useful exhibits if you're still trying to get approval to move beyond a TI calculator in math class. Playing with extended precision helps bring the concepts of limits and convergence alive.
My students are employed adults so winning such approval is a non-issue. But then I ask them to imagine themselves back in school, with Python a tool of choice in math class. Wouldn't that have been great!? Kirby # -*- coding: utf-8 -*- """ Created on Thu Dec 3 16:40:46 2015 See: http://www.miniwebtool.com/first-n-digits-of-e/?number=300 @author: kurner LAB: Write a unittest to confirm convergence to e to 300 places. after n steps. """ import unittest from decimal import * def euler(n): n = Decimal(n) one = Decimal(1) return (one + one/n) ** n class Test_e(unittest.TestCase): def test_outcome(self): expected = ('2.718281828459045235360287471352662' '49775724709369995957496696762772407' '66303535475945713821785251664274274' '66391932003059921817413596629043572' '90033429526059563073813232862794349' '07632338298807531952510190115738341' '87930702154089149934884167509244761' '46066808226480016847741185374234544' '2437107539077744992069') with localcontext() as c: c.prec = 400 result = euler('1' + '0' * 301) self.assertEqual(str(result)[:len(expected)], expected) if __name__ == "__main__": unittest.main()
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