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Question Number 72634 by Rio Michael last updated on 30/Oct/19
help me with the conditions please   for a function f to be continuous at a point a
helpmewiththeconditionspleaseforafunctionftobecontinuousatapointa
Commented by Prithwish sen last updated on 31/Oct/19
If you can able to draw the function f  through  the point a without lifting your pen then f is  continuous at a
Ifyoucanabletodrawthefunctionfthroughthepointawithoutliftingyourpenthenfiscontinuousata
Commented by Rio Michael last updated on 31/Oct/19
thanks sir hahah
thankssirhahah
Commented by Prithwish sen last updated on 31/Oct/19
welcome
welcome
Commented by mathmax by abdo last updated on 31/Oct/19
f continue at x_0 ⇔lim_(x→x_0 )   f(x)=f(x_0 )
fcontinueatx0limxx0f(x)=f(x0)
Answered by mind is power last updated on 31/Oct/19
 f is continus in a if ,∀ε>0 ∃η>0  ∀x  ∣x−a∣<η⇒∣f(x)−f(a)∣<ε  What do you dont understand sir ?
fiscontinusinaif,ε>0η>0xxa∣<η⇒∣f(x)f(a)∣<ϵWhatdoyoudontunderstandsir?
Commented by Rio Michael last updated on 31/Oct/19
yeah sir i don′t
yeahsiridont

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