Table of Contents
Why is 1 Infinity undefined?
Infinity is a concept, not a number; therefore, the expression 1/infinity is actually undefined. In mathematics, a limit of a function occurs when x gets larger and larger as it approaches infinity, and 1/x gets smaller and smaller as it approaches zero.
What does Siri say if you ask 0 divided by 0?
“What is zero divided by zero?” If you ask Siri this question in the iOS 8 operating system, the iPhone’s virtual assistant will cleverly tell you that you’re making no sense. “Imagine that you have zero cookies,” Siri’s response begins, “and you split them evenly among zero friends.
Why is 1 power infinity indeterminate?
While taking left hand limit, the value will tend to 0 & while taking right hand limit, the value will tend to infinity, demonstrating that the values are neither equal from each side nor they are finite/continuous. This makes the value of 1 to the power of infinity still indeterminate.
Why does any number with 0 power equals 1?
On one hand, any other number to the power of 0 is 1 (that’s the Zero Exponent Property ). On the other hand, 0 to the power of anything else is 0 , because no matter how many times you multiply nothing by nothing, you still have nothing. Let’s use one of the other properties of exponents to solve the dilemma:
Why 1 divided by 0 is undefined?
In ordinary arithmetic, the expression has no meaning, as there is no number which, multiplied by 0, gives a (assuming a≠0), and so division by zero is undefined. Since any number multiplied by zero is zero, the expression 0/0 is also undefined; when it is the form of a limit, it is an indeterminate form.
Why does zero factorial equal one?
The first reason for why zero factorial is equal to one is because this is what it the definition says it should be, which is a mathematically correct explanation if not a somewhat unsatisfying one.
Why is the log of 1 equal to 0?
log 1 = 0means that the logarithm of 1 is always zero, no matter what the base of the logarithm is. This is because any number raised to 0 equals 1. Therefore, ln 1 = 0also. All the rest of the logarithmic rules are useful for solving complex equations, or equations with unknowns.