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Determine the infinite limit.
$ \displaystyle \lim_{x \to 0^+}\left( \frac{1}{x} - \ln x \right) $
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02:45
Daniel Jaimes
Calculus 1 / AB
Chapter 2
Limits and Derivatives
Section 2
The Limit of a Function
Limits
Derivatives
Missouri State University
Campbell University
Oregon State University
Boston College
Lectures
04:40
In mathematics, the limit of a function is the value that the function gets very close to as the input approaches some value. Thus, it is referred to as the function value or output value.
In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.
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Determine the infinite lim…
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to evaluate the limits As X approaches zero from the right of one over x minus Ln of X. We first write this into The limit as X approaches zero from the right of one over X the limit. As X approaches zero from the right of Helena vex. Now, for the first limit, If X approaches zero from the right then we know the X value there is a small positive number. And so the value of one over X must be approaching positive infinity. That means for the first time we have positive infinity minus for the limit of L innovex. As X approaches zero from the right, we recall the graph of al innovex and here we see that as we move closer to zero, the value of Ln of X approaches negative infinity. And so and here we have negative infinity and so infinity minus negative infinity, that's plus infinity. Or this is going to be positive infinity. And so this is the value of the limits.
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