Question

define limit as. a sum..and give its geometrical significance​

Answer 1

Step-by-step explanation:

We say that the function has a limit L at an input p, if f(x) gets closer and closer to L as x moves closer and closer to p. ... The concept of limit also appears in the definition of the derivative: in the calculus of one variable, this is the limiting value of the slope of secant lines to the graph of a function.

a = a, b = b, f(x) = x and h = (b – a)/n. Hence, the definite integral ∫ab x dx as the limit of sum is [(b2 – a2)/2].

hope you understood ✌️❤️

Answer 2

Answer:

In mathematics, a limit is the value that a function (or sequence) "approaches" as the input (or index) "approaches" some value. Limits are essential to calculus and mathematical analysis, and are used to define continuity, derivatives, and integrals.