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Compute the indicated limit.$$\lim _{x \rightarrow \infty} \frac{5 x^{2}+x+3}{6 x^{2}+7}$$

$$5 / 6$$

Calculus 1 / AB

Chapter 2

An Introduction to Calculus

Section 4

Limits at Infinity, Infinite Limits and Asymptotes

Derivatives

Campbell University

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University of Nottingham

Boston College

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.

02:49

Compute the indicated limi…

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Hello. We have to solve the limit. Limit extends to infinity. Limit accidents to infinity five Access car plus X plus three five after school plus X plus three upon six X squared plus seven, six X squared, plus seven. So we will diet like this. We will take excess corn corn from the numerator. So five plus one by X plus three via access square upon at the square. Six pillars seven by X square. Okay. Yeah. So this will be cancel out and we will put the limit. So it will be even five plus one. We're in 50 plus three y in 51 6 plus seven. We're in Pretty. We know that. Yeah. One by ingredient River in VD and sent by infinite will be zero. So the value of the limit will be five or six. I hope you're not sure. Thank you.

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