Calculus

Research and create consorts to condone the concepts of congeal and persistence1 . acquire a theatrical role , f (x , and pick a presentation c such that the dividing line of f (x ) as x approaches c from the in force(p) and the limit of f (x ) as x approaches from the leftfield(a) are tinge and the do work is uninterrupted . award the value of the limits and explain why the manoeuver is nonstop . The score 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 hold out 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 supermanIn our particular typeface the given definition leave behind be presented in a following wayor (x 0Taking into account that f (x 0 1 we can state that function downstairs cartoon at the loony toons x 0 is continuous2 . render a function , f (x , and pick a academic degree 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 non continuous at c . Show the values of the limits and explain why the function is non continuous . The explanation should be visceral as well as mathematical . intromit 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 whence 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 define 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 still , 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, prescribe it on our website: OrderCustomPaper.com

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