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Question Number 72634 by Rio Michael last updated on 30/Oct/19

$$helpmewiththeconditionsplease$$$$forafunctionftobecontinuousatapointa$$

Commented by Prithwish sen last updated on 31/Oct/19

$$\mathbf{If}\mathbf{you}\mathbf{can}\mathbf{able}\mathbf{to}\mathbf{draw}\mathbf{the}\mathbf{function}\mathbf{f}\mathbf{through}$$$$\mathbf{the}\mathbf{point}\mathbf{a}\mathbf{without}\mathbf{lifting}\mathbf{your}\mathbf{pen}\mathbf{then}\mathbf{f}\mathbf{is}$$$$\mathbf{continuous}\mathbf{at}\mathbf{a}$$

Commented by Rio Michael last updated on 31/Oct/19

$$thankssirhahah$$

Commented by Prithwish sen last updated on 31/Oct/19

$$\mathrm{welcome}$$

Commented by mathmax by abdo last updated on 31/Oct/19

$$fcontinueat{x}_0\iff {lim}_{x\to x_0}f\left(x\right)=f\left(x_0\right)$$

Answered by mind is power last updated on 31/Oct/19

$$\mathrm{f}\mathrm{is}\mathrm{continus}\mathrm{in}\mathrm{a}\mathrm{if},\mathrm{\forall }\epsilon >0\mathrm{\exists }\eta >0\mathrm{\forall }\mathrm{x}\mid \mathrm{x}-\mathrm{a}\mid <\eta \Rightarrow \mid \mathrm{f}\left(\mathrm{x}\right)-\mathrm{f}\left(\mathrm{a}\right)\mid <ϵ$$$$\mathrm{What}\mathrm{do}\mathrm{you}\mathrm{dont}\mathrm{understand}\mathrm{sir}?$$

Commented by Rio Michael last updated on 31/Oct/19

$$yeahsiri{don}^{\prime }t$$

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