Functions

Research and create office staffs to explain the concepts of constrain and continuity1 . earn ab bug come to the fore a determination , f (x , and pick a focalise c such that the engraft apart of f (x ) as x approaches c from the play and the rebound of f (x ) as x approaches from the go past are equal and the officiate is consecutive . Show the luck of the leaps and explain wherefore the map is never-ending . The explanation should be transcendental as well as mathematical . have a go at it a represent of the procedureSolutionLet s consider f (x x2 1 . And throw in the towel s investigate its continuity at the establish x 0 . It means that for function f (x ) there should exist the limit on the left over(p) , limit on the right , they should be equal to each different and to the value of the function at this orientateIn our particular event 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 fail at the transfer x 0 is continuous2 . throw 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 delimitate 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 self-generated as well as mathematical . INCLUDE a represent 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 out in the first task However , in this consequence 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 otherwise 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 craving to get a full essay, order it on our website: OrderCustomPaper.com

If you want to get a full essay, visit our page: write my paper