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1/(2*(square root of x))

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Q: What is the limit delta x approaching zero of f of x plus delta x minus f of x all over delta x if f of x equals the square root of x?
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Using the Cauchy definition of a limit and relating epsilon and delta to prove a limit exists can we have something like epsilon times 2 minus 3 equals delta and if not why?

Yeah, that's valid, but it's almost always the worst possible way to go about solving a question. Any functions which are complicated enough to be worth showing have limits are usually too complicated to do it that way.


How many squares do you see in a square?

In a square you can see infinity squares. For you to have a limit of squares you have to set a limit of size.


Why is process of finding a first derivative called differentiation?

When finding the first derivative, you calculate the slope of the curve at a point by determining the ratio of delta y over delta x. You make delta x and delta y smaller and smaller; in fact, you take the limit of delta y over delta x as delta x goes to zero.At this zero limit point, delta y is called dy, and delta x is called dx. They are also called differentials, hence the term differential calculus. They represent the rate at which x and y change at various x's and y's.Since we are working with differentials, the process of determining the slope, also known as the first derivative, is call differentiation.


What does the derivative of a function mean?

The derivative of a function is another function that represents the slope of the first function, slope being the limit of delta y over delta x at any two points x1,y1 and x2,y2 on the graph of the function as delta x approaches zero.


What is the largest area that the square could have?

There is no limit, assuming space is endless.

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Given a positive number, delta, however small, by selecting a long enough string of 9s it is possible to get closer to 1 than delta. Since the choice of delta is arbitrary, it is possible to get arbitrarily close to 1. This means that in the limit, the decimal 0.999... (repeating) equals 1.


Using the Cauchy definition of a limit and relating epsilon and delta to prove a limit exists can we have something like epsilon times 2 minus 3 equals delta and if not why?

Yeah, that's valid, but it's almost always the worst possible way to go about solving a question. Any functions which are complicated enough to be worth showing have limits are usually too complicated to do it that way.


What kind of line has a slope of 0?

A horizontal line, such as Y = 3, has a slope of zero.Slope is the limit, as delta x approaches zero, of delta y / delta x.


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there is no age limit to join.


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The weight limit on the Delta Deluxe baby bassinet is 15 pounds. Bassinets are designed for infants who cannot yet roll over, or sit up.


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There was a tempest approaching, so they made preparations to limit the damage the wind could do.


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Up to 15 LBS.