You want to trim your moustache.
You stand in front of a mirror.
You have scissors in your hand.
You want to size uniformly.
You look at the mirror and say to yourself go slow.
In case you had another mirror showing the reflection of the first mirror; then you would have said the trimming went well.
Yourself. Sizing. f(x).
First mirror. Slowly. f'(x).
Second mirror. Effect. Force. f"(x).
To me, this is the crux of Taylor series.
You stand in front of a mirror.
You have scissors in your hand.
You want to size uniformly.
You look at the mirror and say to yourself go slow.
In case you had another mirror showing the reflection of the first mirror; then you would have said the trimming went well.
Yourself. Sizing. f(x).
First mirror. Slowly. f'(x).
Second mirror. Effect. Force. f"(x).
To me, this is the crux of Taylor series.
