There exists a real L such that for all epsilon greater than 0, there exists a natural N such that | a_n - L | less than epsilon for all n greater than N.

The sequence (a_n) ... to ..

For all epsilon greater than 0, there exists a natural N such that |a_n - a_m | less than epsilon for all n and m greater than N.

(a_n) is a ... sequence.

There exists a real M such that |a_n| less than or equal to M for all n.

The sequence (a_n) is...

For every epsilon greater than 0, for every natural N there exists an n greater than or equal to N usch that |a_n - x| less than epsilon.

x is a(n) ... of (a_n).

There exists a function from the natural numbers to the natural numbers which is strictly increasing such that b_n = a_f(n) for all natural N.

In order to create a playlist on Sporcle, you need to verify the email address you used during registration. Go to your Sporcle Settings to finish the process.

## Show Comments