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Yes, that happens with any continuous function. The limit is equal to the function value in this case.
Yes, that happens with any continuous function. The limit is equal to the function value in this case.
Yes, that happens with any continuous function. The limit is equal to the function value in this case.
Yes, that happens with any continuous function. The limit is equal to the function value in this case.
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What is limit of 1 -cos x divided by x as x approaches 0?
1
What term describes a function whose graph is composed of isolated points?
A graph that has isolated points is discontinues if isolated means that a point is plotted say a but the limit as f(x) approaches a does not equal a
What is the value if we divide 0 by 0?
One cannot divide by zero, even if the numerator is zero. The limit, however, of a function which as it aproache an x value for which itequals 0/0 can be found using calculus and L'Hopital's rule.
What is the exact trigonometric function value of cot 0?
There is no value cot 0, because cot 0 is equivalent to 1 / tan 0, which is equivalent to 1 / 0, which is undefined. That said, the limit of cot x as x approaches 0 is infinity.
How do I evaluate the limit sin9x divided by tan9x when x tends to 0 without using L Hospitals rule?
First to simplify matters, change y=9x. So we are looking at limit sin(y) divided by tan(y).Now lets look at right angled triangle wheresin(y) = a/ctan(y) = a/bthus we are looking at the limit of (a/c)/(a/b) = limit of b/cAs the angle y shrinks, the right angle remains constant, and the remaining angle approaches a right angle. Thus at the limit we have a triangle with equal angles and thus where b=c.As a result limit you are trying to calculate is 1.
What is the domain and range for the following function and its inverse f of x equals -x plus 5?
The function is a simple linear function and so its nature does not limit the domain or range in any way. So the domain and range can be the whole of the real numbers. If the domain is a proper subset of that then the range must be defined accordingly. Similarly, if the range is known then the appropriate domain needs to be defined.
What devices can you use to limit the size of a collision domain?
A switch or router will limit the number of clients in a collision domain, thus limiting what can be in the collision domain.
Is log periodic function?
No. It is an increasing function, with a domain of x > 0. An example of a periodic function is y = sin x. It repeats with every period and keeps crossing, back and forth, over the x-axis. y = log x doesn't behave that way. It just keeps increasing, without limit, as x increases.
What is the definition of a continuous function?
Intuitively, a continuous function y = f(x) is one where small changes in x result in small changes in y. More rigorously, consider the function y = f(x) defined on the domain D to the codomain C where both D and C are subsets of R. Then f(x) is continuous at a point p in D if the limit of f(x) as x approaches p within D is f(p). The function is said to be continuous is it is continuous at every point in its domain. The domain and codomain of f can be extended to multiple dimensions provided a suitable metric (eg Pythagorean distance) is used.
What is the maximum number of domain controllers in a domain?
The recommended limit of DCs per domain as per Microsoft is 1200
When finding the derivative of a point on a piecewise function does every function in the piecewise function need to be continuous and approach the same limit?
All differentiable functions need be continuous at least.
Is it true that the function has a vertical asymptote at every x value where its numerator is zero and you can make a table for each vertical asymptote to find out what happens to the function there?
Every function has a vertical asymptote at every values that don't belong to the domain of the function. After you find those values you have to study the value of the limit in that point and if the result is infinite, then you have an vertical asymptote in that value
How many domain names are registered each month?
There is no limit. You can register any number of domain names.
Is every measurable functions continuous?
No, a measurable function may have a finite number of discontinuities (for the Riemann measure), or a countably infinite number of discontinuities (for the Lebesgue measure). It should also be bounded (have some upper and lower bound, or limit, in the domain that is being measured), to be measureable. At least, some unbounded functions are not measurable.No, a measurable function may have a finite number of discontinuities (for the Riemann measure), or a countably infinite number of discontinuities (for the Lebesgue measure). It should also be bounded (have some upper and lower bound, or limit, in the domain that is being measured), to be measureable. At least, some unbounded functions are not measurable.No, a measurable function may have a finite number of discontinuities (for the Riemann measure), or a countably infinite number of discontinuities (for the Lebesgue measure). It should also be bounded (have some upper and lower bound, or limit, in the domain that is being measured), to be measureable. At least, some unbounded functions are not measurable.No, a measurable function may have a finite number of discontinuities (for the Riemann measure), or a countably infinite number of discontinuities (for the Lebesgue measure). It should also be bounded (have some upper and lower bound, or limit, in the domain that is being measured), to be measureable. At least, some unbounded functions are not measurable.
How does eminent domain limits one's right to own property?
Eminent domain does not "limit your right to own property". Most property owners never encounter the government's right of eminent domain. Eminent domain may affect your property rights at some point but it does not limit your right to own property.
Definition of Differentiable function?
Let f be a function with domain D in R, the real numbers, and D is an open set in R. Then the derivative of f at the point c is defined as: f'(c) =lim as x-> c of the difference quotient [f(x)-f(c)]/[x-c] If that limit exits, the function is called differentiable at c. If f is differentiable at every point in D then f is called differentiable in D.
What is an example of a calculus limit?
the limit [as x-->5] of the function f(x)=2x is 5 the limit [as x-->infinity] of the function f(x) = 2x is infinity the limit [as x-->infinity] of the function f(x) = 1/x is 0 the limit [as x-->infinity] of the function f(x) = -x is -infinity
