Are there infinite points on a line segment?

Are there infinite points on a line segment?

Any segment with at least two points has infinitely many points, because, intuitively, given any two distinct points, there is a third one, distinct from both of them, say, the middle point.

Which type of line has an infinite number of points?

A line (straight line) can be thought of as a connected set of infinitely many points. It extends infinitely far in two opposite directions. A line has infinite length, zero width, and zero height. Any two points on the line name it.

What can you say about multiple points on a line segment?

In fact, there are infinitely many points on the line segment. For example, there is a point between the two endpoints that is also in the line. And a point between the middle point and the start. And one between the middle and the end.

Are there infinite functions?

Hence depending upon the function it is possible to talk about its limit at many points. Thus for example if f(x)=x2 then we can talk about its limit at any point c without any problem. Thus to use your phrase “functions can have an infinite number of limits”.

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Are the points on a line finite or infinite?

A line extends in both directions without bound; this is why lines are usually depicted with arrows on each end. Its length is infinite, and between any two points on a line, there lie an infinite number of other points.

What is an infinite one dimensional figure?

A line is a one-dimensional figure that is made up of an infinite number of individual points placed side by side. In geometry all lines are assumed to be straight; if they bend they are called a curve. A line continues infinitely in two directions.

Is a line a finite set of points?

Points are where lines terminate, so a line has only 2 points, but one can have any number of points inserted on a line . All points are countable because they are purposely put there. Lines are finite and are not made of points.

How many points lie on a segment?

A line segment is a straight line that connects two points. It is the shortest path between the two points. A line segment has definite length.

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How many points are in a segment?

Equivalently, a line segment is the convex hull of two points. Thus, the line segment can be expressed as a convex combination of the segment’s two end points.