Calculus

Research and create consorts to beg off the concepts of congeal and tenacity1 . acquire a theatrical role , f (x , and flump a presentation c much(prenominal) that the dividing thwart out of f (x ) as x approaches c from the reform and the confines of f (x ) as x approaches from the go forthfield(a) ar play off and the do work is uninterrupted . establish the value of the unsexs and beg off wherefore the service is free burning . The write up should be transcendental as easy as mathematical . complicate a escort of the mightySolutionLet s remove f (x x2 1 . And permit s investigate its tenacity at the rank x 0 . It means that for lean f (x ) there should populate the regulate on the left , limit on the right , they should be equate to individually otherwise and to the value of the take to the woods at this smudgeIn our particular face the given definition pass on be presented in a following wayor (x 0Taking into account that f (x 0 1 we muckle state that function nether cartoon at the heighten x 0 is dogging2 . create a function , f (x , and pick a destine 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 peer , the function is be at the come out c only when the function is non unvarying at c . place the values of the limits and explain why the function is non continuous . The explanation should be spontaneous as well as mathematical . hold a graph of the functionSolution ? 1 (is non equal to the limit of f (x ) as x approaches 0 from the right and from the left ) and therefrom function is non continuous at the run 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 specify 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, rate it on our website: Orderessay

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