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Compute the indicated limit.$$\lim _{x \rightarrow \infty} \frac{(2 x-1)^{3}}{(3 x-1)^{2}(x+5)}$$

$$8 / 9$$

Calculus 1 / AB

Chapter 2

An Introduction to Calculus

Section 4

Limits at Infinity, Infinite Limits and Asymptotes

Derivatives

Missouri State University

Harvey Mudd College

Baylor University

University of Nottingham

Lectures

04:40

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.

30:01

In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value (the rate of change of the value of the function). If the derivative of a function at a chosen input value equals a constant value, the function is said to be a constant function. In this case the derivative itself is the constant of the function, and is called the constant of integration.

01:07

Compute the indicated limi…

01:19

Find the indicated limit.<…

00:35

Find the limits.$$…

01:18

Find the limit.$$\…

we have to compare this limit so we will write it. Limit extends to infinity and we will take ex comin from the nominators. It will be executed to management by export of three upon and we will take X coming from this also. So it will be three minus one by X. Who else? Because it will be access card. So X will We will take ex con from this also So it will even plus five by X so it will be cancel out Okay, so we can limit extends to infinity to management by X power of three upon three Management by X power of two. But bless five by X. Okay, now we will put the limit So it will be right to power of three upon three. Power to multiplied by one. So it will be eight by nine. I hope you understood. Thank you

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