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. 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.