if $f^n(x)=f^{n-1}(x)$ and $f \cdot f (x) = f(f(x))$
then find,
\[(g \cdot f)^{2012}(x)\]
[It's the $1313^{th}$ topic.Does anyone have triakaidekaphobia ?
]Mymensingh 2012 Secondary 10
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Please don't post problems (by starting a topic) in the "X: Solved" forums. Those forums are only for showcasing the problems for the convenience of the users. You can always post the problems in the main Divisional Math Olympiad forum. Later we shall move that topic with proper formatting, and post in the resource section.
Please don't post problems (by starting a topic) in the "X: Solved" forums. Those forums are only for showcasing the problems for the convenience of the users. You can always post the problems in the main Divisional Math Olympiad forum. Later we shall move that topic with proper formatting, and post in the resource section.
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nafistiham
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given that $f(x)=e^x$ and $g(x)=lnx$
if $f^n(x)=f^{n-1}(x)$ and $f \cdot f (x) = f(f(x))$
then find,
\[(g \cdot f)^{2012}(x)\]
[It's the $1313^{th}$ topic.Does anyone have triakaidekaphobia ? ]
if $f^n(x)=f^{n-1}(x)$ and $f \cdot f (x) = f(f(x))$
then find,
\[(g \cdot f)^{2012}(x)\]
[It's the $1313^{th}$ topic.Does anyone have triakaidekaphobia ?
]\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
Using $L^AT_EX$ and following the rules of the forum are very easy but really important, too.Please co-operate.
Using $L^AT_EX$ and following the rules of the forum are very easy but really important, too.Please co-operate.