10 (or e) to the power of x range from zero to infinity. Lets try the extreme cases: 10^infinity = infinity 10^0 = 1 10^-infinity = 1/infinity = 0
Zero times infinity is defined as "indeterminate".
Because zero multiplied by any number is always zero, but anything multiplied by infinity is infinity. Zero times infinity is being pulled both ways. Also, the definition of infinity is any number x divided by 0. When you multiply zero by infinity, the zeroes "cancel out", leaving absolutely nothing behind.
Log zero is not defined, and if it were defined, it would be more likely to be minus infinity than infinity.
No. Zero multiplied or divided by anything is zero.
Also infinity. If you are concerned about the size of sets, it is a higher-level (larger) infinity. For example, 2 to the power aleph-zero, or aleph-zero to the power aleph-zero, is equal to aleph-one.
It remains as zero
that would be the inverse of e to the plus infinity Answer is thus zero
Yes. The rule is used to find the limit of functions which are an indeterminate form; that is, the limit would involve either 0/0, infinity/infinity, 0 x infinity, 1 to the power of infinity, zero or infinity to the power of zero, or infinity minus infinity. So while it is not used on all functions, it is used for many.
It IS undefined.
Zero to any non-zero real number power is equal to zero. Unless a function evaluates to 'zero to the infinity power' then you must take limits to determine what the limit evaluates to. Zero to the zero power is undefined, but you can take a limit of the underlying function to determine if the limit exists.
Infinity cannot, by definition, be a defined number such as zero.
Zero to Infinity was created in 1999-09.
10 (or e) to the power of x range from zero to infinity. Lets try the extreme cases: 10^infinity = infinity 10^0 = 1 10^-infinity = 1/infinity = 0
Infinity into zero = Log 2 = 0.692 by L'hospital Rule
Zero times infinity is defined as "indeterminate".
infinity? Infinity over zero is undefined, or complex infinity depending on numbers you are including in your number system.