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Calculus

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Section 1

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Continuous function

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Calculus Math

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Date created

Mar 1, 2020

Cards (7)

Section 1

(7 cards)

Continuous function

Front

A continuous function is continuous at every number in its domain

Back

Continuous from the left

Front

A function f of c is continuous from the left of a number a if the limit of f of x as x approaches a from the left equals f of a

Back

Definition of a limit

Front

For every epsilon greater than 0 there exists a delta greater than 0 such that if the absolute value of x minus c is less than delta then the absolute value of f of x minus l is less than epsilon

Back

Continuous from the right

Front

A function f of x is continuous from the right of a number a if the limit of f of x as x approaches a from the right equals f of a

Back

Continuous on an interval

Front

A function is continuous on an interval if it is continuous at every number on the interval

Back

Continuous at a number

Front

A function f of x is continuous from the right at a number a if the limit of f of x as it approaches a from the right equals f of a

Back

Slope of a curve at a point

Front

The slope of a curve f of x at the point c f of c is a number

Back