Chapter 2, Exercise 12
Click the button below to generate a random number. Construct two different sequences \(\{a_n\}\) and \(\{b_n\}\) that each converge to that value.
Limit:
Enter the two sequences \(\{a_n\}\) and \(\{b_n\}\) that you created into the boxes below. Use \(n\) for your variables. You may use \(+,-,*,\) and \(/\) for addition, subtraction, multiplication and division. A double asterisk \(**\) is used for exponents. Any Javascript mathematical functions can be used by appending "Math." to the start of the function, such at "Math.cos(n)" or "Math.sqrt(n)" A full list is available here
Visually confirm the sequences you constructed converge as intended.
Don't forget to write down your limit and your two sequences. You'll need them in the next two exercises.