Hi can some please help, show that the squence of fuctions pointwise converge to a fuction.

Attachment 19479

Thanks you

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- Oct 26th 2010, 11:24 AM1234567pointwise convergence
Hi can some please help, show that the squence of fuctions pointwise converge to a fuction.

Attachment 19479

Thanks you - Oct 26th 2010, 12:34 PMTheEmptySet
$\displaystyle 0\le f_n(x) \le \frac{1}{nx+1}$ for $\displaystyle x \ne 0$

and

$\displaystyle f_n(0)=0$ for all n

does this help? - Oct 26th 2010, 12:39 PM1234567
thanks for the help, i understand this, but find it diffecult to find an epsilon.

- Oct 26th 2010, 12:44 PMAlso sprach Zarathustra
Squeeze theorem - Wikipedia, the free encyclopedia

BTW: that function is also have uniform convergence...