From the course: Complete Guide to Calculus Foundations for Data Science

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Calculate limits using properties, part 1

Calculate limits using properties, part 1

From the course: Complete Guide to Calculus Foundations for Data Science

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Calculate limits using properties, part 1

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- [Instructor] Let's start off by using the various limit properties to calculate limits. You will use the properties discussed in the previous chapter. Let's first refresh you on what those limit properties are. So here, you have the limit properties starting with the identity rule. So you have the limit as x goes to a of x is equal to the value of a. Next, you have the constant rule, which is the limit as x goes to a of c is equal to the constant itself, c. After that, you have the constant multiple rule. So you have the limit as x goes to a of c multiplied by f of x is equal to c multiplied by the limit as x goes to a of f of x, which is equal to c multiplied by capital L. Next, you have the sum rule, which is the limit as x goes to a of f of x plus g of x is equal to the limit as x goes to a of f of x plus the limit as x goes to a of g of x, which equals capital L plus capital M. Next is the difference rule. So you have the limit as x goes to a of f of x minus g of x is equal to…

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