N'th Differencial

[Corei13]

Prove that, for any function $f(x)$,

\[ \frac{{d^{n}}}{{dx^{n}}}f(x)=\lim_{h\to 0}\frac{\sum_{i=0}^{n}{(-1)^{i}}\binom{n}{i}f(x+(n-i)h)}{h^{n}} \]

[Moon]

Is it your own problem? I'd like to request everyone to write a few words about the source of the problem. (You should hide the sources in some cases)

[Corei13]

অামার প্রবলেম বলতে নিজেই বের করসি, কিন্তু অাগেও নিশ্চয় কেউ বের করসে।

[zadid xcalibured]

Induction and combinatorial argument both yeilds easy solution.