Question

use the epsilon-delta technique to find the limit of (2x+1)/(3x-2) as x approaches infinity

Answer 1

\[\lim_{x \rightarrow \infty} (2x+1)/(3x-2)\]

Answer 2

You need to prove:

\[\text{For every $\varepsilon > 0$ show that there is an $N$ such that}\]\[\text{when $n > N$ then $|f(n) - \frac{2}{3}| < \varepsilon$}\]

Answer 3

Make sure to test every epsilon...:-)