Angle at Y-axis Crossing of y=sin(1/x) Graph

In summary, the graph of y=sin(1/x) has a series of peaks and valleys that approach the x-axis but never touch it. It oscillates infinitely as x approaches 0 and does not cross the y-axis at any point. It also crosses the x-axis an infinite number of times and is symmetrical about the origin, but not the y-axis. The limit of y=sin(1/x) as x approaches 0 is undefined.
  • #1
wheepep
9
0
at which angle does the graph y=sin(1/x) cross the y-axis??
sin(1:x).png
 
Mathematics news on Phys.org
  • #2
Value undefined: the function is discontinuous at x = 0, which means, the graph doesn't cross the y-axis.
 

FAQ: Angle at Y-axis Crossing of y=sin(1/x) Graph

What is the shape of the graph of y=sin(1/x)?

The graph of y=sin(1/x) is a continuous, oscillating curve that approaches the x-axis as x approaches infinity and negative infinity.

What is the angle at the y-axis crossing of the graph of y=sin(1/x)?

The angle at the y-axis crossing of the graph of y=sin(1/x) is undefined, as the graph approaches the y-axis at an infinite number of points.

How does the angle at the y-axis crossing change as x approaches zero?

As x approaches zero, the angle at the y-axis crossing of the graph of y=sin(1/x) becomes steeper and approaches a vertical angle.

What is the period of the graph of y=sin(1/x)?

The period of the graph of y=sin(1/x) is not defined, as the graph does not have a repeating pattern.

How does the angle at the y-axis crossing change as the frequency of the graph increases?

As the frequency of the graph increases, the angle at the y-axis crossing becomes steeper and approaches a vertical angle. This is because the graph oscillates more frequently and approaches the y-axis at a greater number of points.

Similar threads

Replies
2
Views
980
Replies
1
Views
964
Replies
2
Views
868
Replies
3
Views
2K
Replies
7
Views
10K
Replies
3
Views
2K
Replies
5
Views
1K
Replies
7
Views
1K
Replies
1
Views
1K
Back
Top