Q:

# Why do we use minimum and maximum values when proving limits of Epsilon?

A:

People use minimum and maximum values when proving limits of epsilon, because epsilon is a range around a limit point. To have a limit, one has to approach that limit from both the negative and positive directions.

## Keep Learning

Credit: Jaap Hart E+ Getty Images

In calculus, y= f(x). Limits describe the approach to a number on either side of the y-axis. For example, if f(x) equals x=1, but x does not equal 2, x becomes undefined when one gets to 2. It remains defined right up to the point at which one bumps into 2 on the x-axis. It resumes being defined as soon as one passes 2 on the x-axis. This means one can reach up to 2 without arriving at 2, for example,1.9, and one can reach 2 from the right side of the number line without actually getting there, for example, 2.1.

As one approaches a point on the x-axis, one is also approaching it from the f(x). So wherever one is on the x-axis, one is a corresponding distance away on the y-axis. Epsilon is the range approaching the limit from either a positive or negative direction. Because epsilon is a range of numbers, one has a maximum number and a minimum number.

Sources:

## Related Questions

• A: The class midpoint, or class mark, is calculated by adding the lower and upper limits of the class and dividing by two. The class midpoint is sometimes use... Full Answer >
Filed Under:
• A: In the context of solid three-dimensional geometry, the first octant is the portion under an xyz-axis where all three variables are positive values. Under ... Full Answer >
Filed Under:
• A: The x intercepts of a parabola equation are the values of x for which y is equal to zero. These are the points at which the line of the parabola intercepts... Full Answer >
Filed Under:
• A: The mean absolute deviation formula is Σ|x - μ| / N. The symbol Σ is used to denote the sum of a series of numbers, while μ represents the mean, x represen... Full Answer >
Filed Under:
PEOPLE SEARCH FOR