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There is no number 'infinity' so we are obliged to ask for a limit:
lim pi-x as x tends to infinity. pi-x = 1/pix. As x increases pix increases 'much faster' making the fraction 1/pix smaller and smaller but always positive.
Thus when x is large the fraction will tend toward zero.
Incidentally, whenever you want to demonstrate these behaviours of functions for yourself may I suggest either of the following:
- GeoGebra which is free and can be installed on your own computer
- Wolfram-Alpha which is a web site that is free to use
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What is infinity divided by pi?
Impossible to answer ! Infinity is a never ending quantity - and Pi is a never ending decimal !
How do you write in interval notation x is positive?
Positive: (0, infinity)Nonnegative: [0, infinity)Negative: (-infinity, 0)Nonpositive (-infinity, 0]
What is the set-builder notation of the problem the set of negative infinity and 0?
I think you mean zero to negative infinity is {x: x< or equal to 0}
Who discovered the last digits of pi?
The last digits of pi are unknown. The number is not a rational number and will continue on out to infinity. There was a satire written as a news story that appeared, but it was not true.
What does 1 divided by sin x look like?
1/sin(x) is also known as cosec(x). It looks a bit like a U, starting at "infinity" when x = 0, bottoming out at 1 when x = pi/2 radians and then returning to "infinity" at x = pi. Next, it is an upside down U, below the axis and peaking at -1: between x = pi and 2*pi. These U shapes alternate.
