# The meaning for f to be continuous at a .

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter 2, Problem 7RCC

(a)

To determine

## To describe: The meaning for f to be continuous at a.

Expert Solution

### Explanation of Solution

If function f is a continuous at x=a then it will satisfies the below three conditions.

(i)f(a) exists

(ii)limxaf(x) exists

(iii)f(a)=limxaf(x)

(b)

To determine

Expert Solution

### Explanation of Solution

Let a function f to be continuous on the interval (,) that means the function f is continuous at every point on the real line.

That is defined as a(,).

Example:

Let the function f(x)=sin(x) then the function is continuous at every point.

Graph:

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