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Compute the indicated limit.$$\lim _{x \rightarrow \infty} \frac{3 x^{4}+7 x-11}{5 x^{5}-3 x+2}$$

$$0$$

Calculus 1 / AB

Chapter 2

An Introduction to Calculus

Section 4

Limits at Infinity, Infinite Limits and Asymptotes

Derivatives

Missouri State University

Campbell University

Oregon State University

University of Michigan - Ann Arbor

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.

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01:17

Hello. We have to solve the limit. Extension Plenty. Limit accidents to infinity three X power three x to the power of 43 x to the power of four plus seven. Next month is 11 plus seven X months 11 upon five extra Depart 55 X to depart five minus three X plus two minus of three express to Okay, so we will from the narrative. We will take X to the power for so it will be three plus seven by X cube minus 11 by X power of four Upon from the dynamometer, we will We will take extra About five. We will stay common actually about five. So you leave minus three by extra the powerful plus to buy extra the power of fight. So it will be like this. So limit access to in 20 we now we will put the limit so it will be three plus 010 upon in 55 minus zero plus zero. So it will be zero. I hope you understood This will be 355 apartment 20. So it will be zero, I hope and I should thank you

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