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Find the indicated limit.$$\lim _{x \rightarrow 1} \frac{x}{3+5 x^{2}}$$

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Calculus 1 / AB

Chapter 2

An Introduction to Calculus

Section 3

Limits and Continuity

Derivatives

University of Michigan - Ann Arbor

University of Nottingham

Idaho State University

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.

01:15

Find the indicated limit.<…

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01:18

Find the limit.$$\…

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Compute the indicated limi…

00:35

Find the limits.$$…

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Find the limit.$\lim _…

In this problem, we have to find the indicated limit off the given function, which is limit off Ex Bon three plus five X care as the limit extents toe plus one. Yeah, since the regional function is defined for all your numbers, so we can apply the limit without any simplification, that is one upon three plus while into one spare what which will be equal toe run upon three plus five times. One is five, which is equal to one upon egg, which is the required.

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