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# Applied Calculus note

Mason

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This 6 page Class Notes was uploaded by Chaojian Xiang on Monday September 21, 2015. The Class Notes belongs to at George Mason University taught by in Fall 2015. Since its upload, it has received 11 views.

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Date Created: 09/21/15

LIMITS The definition of the Limits Limits is infinitely close prediction of a function value Continuity Continuous functions De nition Let fx be a function then fx is continuous at the value xa 1fab a is in my domain 2 le LIM x gt a L The result of limits must exist 3bL Discontinuous In three conditions the graph will be discontinuous tips E exist DNE do no exist 1 If the result of function is E and the result of limits is DNE 2 If the result of function is DNE and the result of limits is E 3 If the result of function is DNE and the result of limits is DNE LIMITS The definition of the Limits Limits is infinitely close prediction of a function value Continuity Continuous functions De nition Let fx be a function then fx is continuous at the value xa 1fab a is in my domain 2 le LIM x gt a L The result of limits must exist 3bL Discontinuous In three conditions the graph will be discontinuous tips E exist DNE do no exist 1 If the result of function is E and the result of limits is DNE 2 If the result of function is DNE and the result of limits is E 3 If the result of function is DNE and the result of limits is DNE LIMITS The definition of the Limits Limits is infinitely close prediction of a function value Continuity Continuous functions De nition Let fx be a function then fx is continuous at the value xa 1fab a is in my domain 2 le LIM x gt a L The result of limits must exist 3bL Discontinuous In three conditions the graph will be discontinuous tips E exist DNE do no exist 1 If the result of function is E and the result of limits is DNE 2 If the result of function is DNE and the result of limits is E 3 If the result of function is DNE and the result of limits is DNE LIMITS The definition of the Limits Limits is infinitely close prediction of a function value Continuity Continuous functions De nition Let fx be a function then fx is continuous at the value xa 1fab a is in my domain 2 le LIM x gt a L The result of limits must exist 3bL Discontinuous In three conditions the graph will be discontinuous tips E exist DNE do no exist 1 If the result of function is E and the result of limits is DNE 2 If the result of function is DNE and the result of limits is E 3 If the result of function is DNE and the result of limits is DNE LIMITS The definition of the Limits Limits is infinitely close prediction of a function value Continuity Continuous functions De nition Let fx be a function then fx is continuous at the value xa 1fab a is in my domain 2 le LIM x gt a L The result of limits must exist 3bL Discontinuous In three conditions the graph will be discontinuous tips E exist DNE do no exist 1 If the result of function is E and the result of limits is DNE 2 If the result of function is DNE and the result of limits is E 3 If the result of function is DNE and the result of limits is DNE LIMITS The definition of the Limits Limits is infinitely close prediction of a function value Continuity Continuous functions De nition Let fx be a function then fx is continuous at the value xa 1fab a is in my domain 2 le LIM x gt a L The result of limits must exist 3bL Discontinuous In three conditions the graph will be discontinuous tips E exist DNE do no exist 1 If the result of function is E and the result of limits is DNE 2 If the result of function is DNE and the result of limits is E 3 If the result of function is DNE and the result of limits is DNE

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