Question

What is the answer for sin infinity

Answer 1

$\huge\star\underline\mathfrak\red{Answer:-}$

I'm not sure this is correct, but I have an interesting idea so here goes.

Draw the sinx vs x curve on a piece of paper, on the x y plane. Imagine you're at x = infinity now. Now look at the graph. Crest of graph has y =1 and trough of graph has y = -1. But because you're standing at infinity, the graph will look like it is a point on x axis. Infact, a huge chunk of the x z plane will look like a point. So basically, the graph will occupy all points on this x z plane. As such, sin(infinity) is not defined. BUT

Even though it is undefined, as graph looks like a point on x axis, you can say sinx (x = infinite) is zero.

If this is correct, all functions with a finite range, at infinity, despite having a undefined value, will behave as if it was zero. I say all functions because at infinity, huge chunks of the 3 planes will look like A point.

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