 # What Is The Limit If It Is 0 0?

## What do you do when the limit is 1 0?

The other comments are correct: 10 is undefined.

Similarly, the limit of 1x as x approaches 0 is also undefined.

However, if you take the limit of 1x as x approaches zero from the left or from the right, you get negative and positive infinity respectively..

## Is 1 to the infinity indeterminate?

Originally Answered: How is 1^infinity indeterminate? 1^infinity is indeed an indeterminate form. Indeterminate form arise when the direct substitution while finding out a limit of some algebraic expression results in an expression which can’t be used to evaluate that limit.

## Can a limit exist at 0?

In order to say the limit exists, the function has to approach the same value regardless of which direction x comes from (We have referred to this as direction independence). Since that isn’t true for this function as x approaches 0, the limit does not exist.

## What is the limit of 0 infinity?

If f(x) = 0 for every x thenf(x)/g(x) = 0 for every x, and hence the limit is zero. (This is your potato example.) Since g(x) approaches infinity as x approaches a, as x gets close to a, g(x) > 1.

## Is 0 to the infinity indeterminate?

Note thatzero to the power infinity is not an indeterminate form.

## Does a limit exist at an open circle?

Nope. The open circle does mean the function is undefined at that particular x-value. However, limits do not care what is actually going on at the value. Limits only care about what happens as we approach it.

## What is E infinity?

e to the power -infinity will be equal to one upon e to the power infinity which will be one upon infinity hence equal to zero.

## Is the limit expression a 0 0 indeterminate form?

If you are dealing with limits, then 00 is an indeterminate form, but if you are dealing with ordinary algebra, then 00 = 1.

## Can you use L Hopital’s rule for 1 0?

If you get an answer, the same answer will work for limx→a f(x)/g(x). This is called L’Hôpital’s Rule. … Notice that L’Hôpital’s rule doesn’t work if limx→a f(x) = 0 or limx→a g(x) = 0.

## What is the slope of zero divided by zero?

Such a division can be formally expressed as a0 where a is the dividend (numerator). In ordinary arithmetic, the expression has no meaning, as there is no number which, when multiplied by 0, gives a (assuming a ≠ 0), and so division by zero is undefined.

## Does a limit exist if there is a hole?

The first, which shows that the limit DOES exist, is if the graph has a hole in the line, with a point for that value of x on a different value of y. … If there is a hole in the graph at the value that x is approaching, with no other point for a different value of the function, then the limit does still exist.

## How do you pronounce L Hospital rule?

It is pronounced with silent “h” and “s.” It is derived from Guillaume Marquis De l’Hospital. That is only a fraction of his entire name, which contained numerous titles of nobility.

## How does L Hopital’s rule work?

So, L’Hospital’s Rule tells us that if we have an indeterminate form 0/0 or ∞/∞ all we need to do is differentiate the numerator and differentiate the denominator and then take the limit.

## What happens when a limit is 0 0?

When simply evaluating an equation 0/0 is undefined. However, in take the limit, if we get 0/0 we can get a variety of answers and the only way to know which on is correct is to actually compute the limit. … Once again however note that we get the indeterminate form 0/0 if we try to just evaluate the limit.

## Is 0 0 undefined or infinity?

0/0 is undefined. If substituting a value into an expression gives 0/0, there is a chance that the expression has an actual finite value, but it is undefined by this method. We use limits (calculus) to determine this finite value.

## What is infinity divided 0?

One says definitively, that infinity/0 is “not” possible. Another states that infinity/0 is one of the indeterminate forms having a large range of different values. The last reasons that infinity/0 “is” equal to infinity, ie: Suppose you set x=0/0 and then multiply both sides by 0.

## What is 1 divided infinity?

Solving 1 divided by infinity is an excellent example of a problem that doesn’t have an outright answer. However, we can use math and observe how the expression behaves to get as close to a solution as possible. Infinity is a concept, not a number; therefore, the expression 1/infinity is actually undefined.

## What is the limit?

Limits describe how a function behaves near a point, instead of at that point. This simple yet powerful idea is the basis of all of calculus. To understand what limits are, let’s look at an example. … The limit of f at x = 3 x=3 x=3 is the value f approaches as we get closer and closer to x = 3 x=3 x=3 .