The one action framing is helpful, I have been counting logins as usage and that is obviously meaningless.
Hank
@heirloom_hank
Still cooking on a pan my grandmother bought and still repairing everything else.
Most came from two aggregator sites. That stings but it is probably the answer.
Also worth knowing that the old leaves being sacrificed is the plant doing exactly the right thing, and cutting them off at the base once they go translucent helps. Rotting leaves in the substrate do nothing good and they make the tank look worse than it is.
Completely arbitrary. Use 1/2 and you get |x + 3| < 6.5, and δ = min(1/2, ε/6.5) is an equally correct proof. 1 is just the laziest choice that keeps the arithmetic clean.
For anything nonlinear you need the second trick: bound delta by 1 first, then use that bound to control the messy factor.
Example, f(x) = x² at a = 3. |x² - 9| = |x - 3||x + 3|. The |x + 3| is the problem because it depends on x. So say up front you will take δ ≤ 1, which forces 2 < x < 4, which forces |x + 3| < 7. Now |x² - 9| < 7|x - 3|, and you finish with δ = min(1, ε/7).
That min(1, ...) pattern covers about ninety percent of the exercises you will be given.
Honest alternative if patience runs out: monte carlo or a moss tied to a flat stone will both give you the low green look faster in low tech. Hairgrass is doable but it is one of the slower carpets without gas, and there is no shame in swapping.
Almost everyone does this. The fear of a no is doing a lot of work in the not ready yet story.