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find whether continuous or not at x=0
f(x) = x cos(1/x), if x<>0
0, if x=0
 10 months ago
 10 months ago
find whether continuous or not at x=0 f(x) = x cos(1/x), if x<>0 0, if x=0
 10 months ago
 10 months ago

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julian25Best ResponseYou've already chosen the best response.0
so u need to find if the lim when x> 0 of the function is equal to the value of the function whne x=0
 10 months ago

julian25Best ResponseYou've already chosen the best response.0
OK THE VALUE OF THE FUNCTION whne x= 0 is 0 and the limit of the function when x> 0 is??
 10 months ago

avshvkBest ResponseYou've already chosen the best response.0
did u get what is the limit for this?
 10 months ago

avshvkBest ResponseYou've already chosen the best response.0
Similarly I have one more problem of same type \[f(x) = xa \sin(1/(xa)), if x \neq 0\] 0 if x=0 , Find f(x) is continuous or not at x=a?
 10 months ago

ZarkonBest ResponseYou've already chosen the best response.0
use the squeeze theorem
 10 months ago
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