- #1
Saracen Rue
- 150
- 10
Hello everyone! I've been curious about this for a while and couldn't come to a conclusion on my own so I've decided to ask it here.
I'm wondering if it's possible for a function, f(x), to have a rule which would allow it and it's derivative to both approach a constant value as x approaches infinity. For example, ##lim_{(x→∞)} f(x) = 3##, ##lim_{(x→∞)} f'(x) = 5##. Note, I don't mind if the constants are equal to each other, the only thing that's important is that they are non-zero constants.
Thank you all for your time :)
I'm wondering if it's possible for a function, f(x), to have a rule which would allow it and it's derivative to both approach a constant value as x approaches infinity. For example, ##lim_{(x→∞)} f(x) = 3##, ##lim_{(x→∞)} f'(x) = 5##. Note, I don't mind if the constants are equal to each other, the only thing that's important is that they are non-zero constants.
Thank you all for your time :)