If the taylor series of f x at x 0 converges for some

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3) If the Taylor series off(x) atx= 0 converges for somex=c, thenit must converge tof(c).
4) If the Taylor series off(x) atx= 1/2 converges for allx, then itconverges tof(x) for allx.
5) Iff(x) is continuous atx= 0, then its derivative,f0(0), exists.
6) If the derivativef0(0) exists, thenf(x) is continuous atx= 0.
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