totaallyyyy related to mathematics.....whats the definition of???!!!???

Question

i wannaa get the proper definition of limit,continuity and differentiation...will u plzz...guide meee....????only intelligent ppl get involved....for replying me...thank u :)

Answer 1

In mathematics, the concept of a "limit" is used to describe the behavior of a function as its argument either gets "close" to some point, or as it becomes arbitrarily large; or the behavior of a sequence's elements, as their index increases indefinitely. Limits are used in calculus and other branches of mathematical analysis to define derivatives and continuity.

A easily understood definition of continuity at a point is that the limit of the function at that point is the value of the function at that point.

Differentiation is the algebraic method
of finding the instantaneous rate of change
of a property. This instantaneous rate of
change is called the derivative.

I hope this is helful Mr student of Honorz.

Answer 2

Something like Wikipedia might be a huge help.

The proper definition of a limit is one including a concept like "For every epsilon>0 there is a delta>0 such that whenever the absolute value of x -x0 is less than delta then the absolute value of f(x)-f(x0) is less than epsilon.

A function is continuous at a point if it equals its own limit.

The derivative of a function at a point is the limit of a certain quotient, if that limit exists (otherwise the function doesn't have a derivative there). The quotient is in essence an estimate for the average rate of change of the function over a small interval, so its limit is the instantaneous rate of change. The quotient is also the slope of a line that approximates the curve pretty well, so the derivative is the slope of the tangent line, which is interpreted as being the line that best approximates the curve.

Answer 3

1. In mathematics, the concept of a "limit" is used to describe the behavior of a function, as its argument gets "close" to either some point, or infinity;

2. Uninterrupted connection or union.

3. The mathematical process of obtaining the derivative of a function.

Answer 4

Only intelligent people get involved FOR REPLYIING ME!

That's intelligent.