Beny.Maleky
New member
- Joined
- Dec 9, 2020
- Messages
- 3
If we consider the function f, defined like this :
f(x) = Lim(x/n) , which (n->infinity)
Then we know for all small 'x's (in comparison to numbers approaching to infinity), f(x) is equal to 0, but if we calculate the Lim of this function when x approaches to infinity, f(x) would be 1, which it means: L = Lim(Lim (x/n) = 1, which (n -> infinity , x-> infinity)
Now if we graph the introduced function, it will show us that all the f(x) are zero, but we know somewhere in the x-axis, f(x) will approach to 1 . For example lets suppose that this happens in x=a.
so by saying that, I want to know that how can we determine a place for x=a on x-axis, which f(x)=1?
I mean where does that change happen? How does that change happen? Is y=f(x) continuous?
f(x) = Lim(x/n) , which (n->infinity)
Then we know for all small 'x's (in comparison to numbers approaching to infinity), f(x) is equal to 0, but if we calculate the Lim of this function when x approaches to infinity, f(x) would be 1, which it means: L = Lim(Lim (x/n) = 1, which (n -> infinity , x-> infinity)
Now if we graph the introduced function, it will show us that all the f(x) are zero, but we know somewhere in the x-axis, f(x) will approach to 1 . For example lets suppose that this happens in x=a.
so by saying that, I want to know that how can we determine a place for x=a on x-axis, which f(x)=1?
I mean where does that change happen? How does that change happen? Is y=f(x) continuous?
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