What is the limit of sin pi X?
What is the limit of sin pi X?
0
What makes a limit continuous?
Definition. A function f(x) is said to be continuous at x=a if. limx→af(x)=f(a) lim x → a A function is said to be continuous on the interval [a,b] if it is continuous at each point in the interval. Note that this definition is also implicitly assuming that both f(a) and limx→af(x) lim x → a exist….
Can a continuous function have a jump?
A jump continuous function is defined as a function such that all the lateral limits of it points are well-defined….
Are jump discontinuities removable?
Then there are two types of non-removable discontinuities: jump or infinite discontinuities. Removable discontinuities are also known as holes. Jump discontinuities occur when a function has two ends that don’t meet, even if the hole is filled in at one of the ends….
Are horizontal Asymptotes removable?
Solution. First, note that this function has no common factors, so there are no potential removable discontinuities. This function will have a horizontal asymptote at y = 0 \displaystyle y=0 y=0.
What is the maximum number of vertical Asymptotes that a function can have?
Question 80694: The maximum number of vertical asymptotes a rational function can have is infinite.
What is the maximum number of horizontal Asymptotes a function can have?
two different
How do you find all horizontal asymptotes?
The horizontal asymptote of a rational function can be determined by looking at the degrees of the numerator and denominator.
- Degree of numerator is less than degree of denominator: horizontal asymptote at y = 0.
- Degree of numerator is greater than degree of denominator by one: no horizontal asymptote; slant asymptote.
Can a rational function have both vertical and horizontal asymptotes?
Note that a graph can have both a vertical and a slant asymptote, or both a vertical and horizontal asymptote, but it CANNOT have both a horizontal and slant asymptote….