TOC
Understanding limits to infinity
When x->∞, what is the exact number of x?
We don’t know, x is undefined.
∞ is not a number, is a idea of having a greater number than you give.
When x->∞, 1/x appoachs zero, but is never equal zero!
When n -> ∞, does sin(1/n) / (1/n) have meaning?
I used to thought 1/n = 0 while n->∞, but 0 cannot be divided, So I was confused.
That makes me puzzled is I regard 1/n -> 0 as 1/n = 0.
When n -> ∞, 1/n is not a zero number, is a very very small number, So sin(1/n) / (1/n) have its meaning.
REFERENCE: Understand limits
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