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anonymous
 4 years ago
if x approaching 3 from the left =22 and x approaching 3 from the right = 22 but the lim f(x) as x approaches 3 = 20. is the function continuous at x=3?
why or why not
anonymous
 4 years ago
if x approaching 3 from the left =22 and x approaching 3 from the right = 22 but the lim f(x) as x approaches 3 = 20. is the function continuous at x=3? why or why not

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0? if the limit from the left is 22 and the limit from the right is 22, then the "limit' cannot be 20

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0f(x)= 2x^2 +4 when x<3 20 when x=3 282x when x>3

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0and im asked to find the limit of x to 3+ x to 3 x to 3

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0piecwise or not, if \[\lim_{x\rightarrow 3^}f(x)=22=\lim_{x \rightarrow 3^+}f(x)\] then the limit is 22, not something else

UnkleRhaukus
 4 years ago
Best ResponseYou've already chosen the best response.1the function is not continuous at the point x=3

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ah the limit is 22, but the function is not continuous at 3 because it is not the same as the value of the limit there

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0why is that unklerhaukus

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0for the function to be continuous, it must have the same value as the limit

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so since \[\lim_{x\rightarrow 3} f(x)=22\] but \[f(3)=20\] it is not continuous at 3

UnkleRhaukus
 4 years ago
Best ResponseYou've already chosen the best response.1Satellite73 has already said this but The function is Only continuous at some point if the limit Exists And is Equal to the function at that point.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok can you help me with this one state the definition of a function f(x) which is continuous at x= a

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Yes, actually this (following) statement is pretty confusing "the lim f(x) as x approaches 3 = 20."

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0A function is continuous at x=a if \[ \large \space \lim \limits_{x\rightarrow a^}f(x)=f(a)=\lim \limits_{x \rightarrow a^+}f(x) \]

UnkleRhaukus
 4 years ago
Best ResponseYou've already chosen the best response.1(assuming the limit exists of course)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0If \( \space \lim \limits_{x\rightarrow a^}f(x)=\lim \limits_{x \rightarrow a^+}f(x) \) then the limit exists.
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