Calculus

Research and create consorts to explain the concepts of congeal and continuity1 . acquire a theatrical role , f (x , and pick a show c such that the dividing line of f (x ) as x approaches c from the right and the limit of f (x ) as x approaches from the leftfield(a) are equal and the do work is uninterrupted . Show the value of the limits and explain why the function is continuous . The explanation should be transcendental as well as mathematical . complicate a interpret of the functionSolutionLet s consider f (x x2 1 . And permit s investigate its continuity at the rank x 0 . It means that for function f (x ) there should exist the limit on the left , limit on the right , they should be equal to each otherwise and to the value of the function at this pointIn our particular typeface the given definition will be presented in a following wayor (x 0Taking into account that f (x 0 1 we can state that function under cartoon at the point x 0 is continuous2 . Create a function , f (x , and pick a point c such that the limit of f (x ) as x approaches c from the right and the limit of f (x ) as x approaches from the left are equal , the function is be at the point c but the function is not continuous at c . Show the values of the limits and explain why the function is not continuous . The explanation should be intuitive as well as mathematical . INCLUDE a graph of the functionSolution ? 1 (is not equal to the limit of f (x ) as x approaches 0 from the right and from the left ) and hence function is not continuous at the point x 03 .

Create a function , f (x , and pick a point c such that the limit of f (x ) as x approaches c from the right and the limit of f (x ) as x approaches from the left are equal , the function is not defined at the point c and the function is not continuous at c . Show the values of the limits and explain why the function is not continuous . The explanation should be intuitive as well as mathematical . INCLUDE a graph of the functionSolutionLet s consider functionAnd let s investigate its continuity in the point x 0is absolutely the same as that , carried pop out in the first task However , in this case f (x 0 ) is not defined and hence function is not continuous at the point x 0 (for the function f (x ) at the point x 0 to be continuous , it is necessary that limits of f (x ) as x approaches 0 from the right and from the left were equal to each other and were equal to the f (x 04 . Create a function , f (x , and pick a point c such that the limit of f (x ) as x approaches c from the right and...If you indigence to get a full essay, order it on our website: Orderessay

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