  # How to determine whether a function is continuous

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## 2.6: Continuity

In order for f to be continuous at 1, we need to see if. lim x → 1 f ( x) and f ( 1) both exist and are equal. To do so, compute the limit from the left, the limit from the right, and f ( 1).

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## What is meant by continuous function? What are the steps to

If f (a) and f (b) are defined then f (x) is continuous in the interval (a,b). If the given function is a rational function, then check for the discontinuity at the zeroes of the denominator.

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A function is continuous at x = a if and only if limₓ → ₐ f (x) = f (a). It means, for a function to have continuity at a point, it shouldn't be broken at that point. For a function to be differentiable, it

## Precalculus : Determine if a Function is Continuous Using Limits

A function f ( x) is continuous at a point x = a if the following three conditions are satisfied: Just like with the formal definition of a limit, the definition of continuity is always Get arithmetic help online

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Mathematics is the study of numbers, shapes, and patterns. It is used in everyday life, from counting to calculating taxes, and its principles can be applied to solve problems in many different fields.

## Continuity of Functions

How to determine whether a function is continuous or discontinuous? – f(c) must be defined. The function must exist at an x value ( c ), which means you can’t have a hole in the function (such Do homework

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math is the study of numbers, shapes, and patterns. It is used in everyday life, from counting to measuring to more complex calculations.

## Calculus I

By observing the given graph, we come to know that. lim x-> x0- f (x) = f (x 0 ) (Because we have unfilled circle) But, lim x-> x0+ f (x) = f (x 0 ) (Because we have the same unfilled circle at the

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