Question: Can Limits Be Infinite?

What is infinity minus infinity?

It is impossible for infinity subtracted from infinity to be equal to one and zero.

Using this type of math, we can get infinity minus infinity to equal any real number.

Therefore, infinity subtracted from infinity is undefined..

What is infinity divided by infinity?

You can’t really say that infinity divided by infinity is anything. For all intents and purposes, it is undefined. This is because infinity is seen as a concept, not a number – and its symbol merely represents the concept.

Is 1 to the infinity indeterminate?

Forms that are not Indeterminate Quotient: The fractions 0 ∞ \frac0{\infty} ∞0​ and 1 ∞ \frac1{\infty} ∞1​ are not indeterminate; the limit is 0 0 0. The fractions 1 0 \frac10 01​ and ∞ 0 \frac{\infty}0 0∞​ are not indeterminate. If the denominator is positive, the limit is ∞ \infty ∞.

Is infinity minus 1 still infinity?

Infinity is not a number is a concept, but let’s imagine one infinity made out of numbers from 0 to infinity: You will have th following list: 0, 1, 2 ,3…followed by a never ending list of numbers. So in this case, this infinity minus one is still infinity.

Why is 1 to the Power Infinity indeterminate?

For example, limn→∞(1+1n)n=e≈2.718281828459045. limn→∞(1+1n)√n=0, so a limit of the form (1) always has to be evaluated on its own merits; the limits of f and g don’t by themselves determine its value.

How do you tell if an infinite limit is positive or negative?

In fact, when we look at the Degree of the function (the highest exponent in the function) we can tell what is going to happen: When the Degree of the function is: greater than 0, the limit is infinity (or −infinity) less than 0, the limit is 0.

How do you find limits?

For example, follow the steps to find the limit:Find the LCD of the fractions on the top.Distribute the numerators on the top.Add or subtract the numerators and then cancel terms. … Use the rules for fractions to simplify further.Substitute the limit value into this function and simplify.

What makes a limit infinite?

In general, a fractional function will have an infinite limit if the limit of the denominator is zero and the limit of the numerator is not zero. … As x approaches 0, the numerator is always positive and the denominator approaches 0 and is always positive; hence, the function increases without bound and .

Is 0 to the infinity indeterminate?

Actually, the general misconception about infinity is that infinity is a number, but in reality, infinity is just an idea or concept. … So if you multiply any number with 0, you get 0, but if you multiply infinity with 0, you get an indeterminate form, because infinity itself is not determined yet…

What is infinity divided 1?

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.