Question

what is the value of cos(1/0)

Answer 1

1/0 is undefined, and so is cos(1/0)

Answer 2

By the way, welcome to OpenStudy :)

Answer 3

thanx

Answer 4

Moreover, you can't even really do anything with limits since \(cos(\frac{1}{x})\) has an oscillating discontinuity at zero.

Answer 5

Always answer division by zero outside the context of a limit with the middle finger.

Limit of sin(x) or cos(x) as x approaches infinity does not exist because as @slaw said, it has an oscillating discontinuity because as you keep on going to infinity, the value of sin/cos will bounce back and forth between [-1,1] so there's no stopping it / reaching an actual limit.

This only applies when you have lim of sin(x) on its own. If you have sin(x)/x or sin(x) times something, things will likely be different.

So the answer to cos(1/0) or cos(infinity) is the middle finger.

Answer 6

To learn more about functions to which the middle finger may be applied, you can read up on essential singularities and Picard's theorem.