I know there are limits like "as x approaches infinity, y approaches 2.718..."
But could you say that a function approaches a certain slope?
For example, , as x approaches +∞, the function approaches a slope of 1.

I know there are limits like "as x approaches infinity, y approaches 2.718..."
But could you say that a function approaches a certain slope?
For example, , as x approaches +∞, the function approaches a slope of 1.
You're trying to perfect a circle, right, as a graphed algorithm?
@Markus Hanke: I mean instead of saying x>∞, f(x)>∞ I would say for slope x>∞, "slope">1. As the limits I've seen always refer to x values and their functions. Never a reference to slope. The slope of any nonlinear function, I believe, is inconstant. So, you could say that, although there is no actual defined slope for the entire function, it approaches a certain, predictable steepness on the graph.
@theQuestIsNotOver: Not at all.
The point of this thread actually is for me to learn from the question I had presented as a speculative idea and you had answered it. I was never familiar with any reference to limits of slopes and I wondered if there was such a concept. As you answered, indeed there is in elementary calculus. Thank you.May I ask what the point in this thread actually is ?
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