# Iterative Function Mapping [duplicate]

Possible Duplicate:
How to nest my own “times” function to get powers

What I want to do is something like :

Sin[...Sin[Sin[Sin[Sin[x]]]]]


Basically, defining a function that maps a said function on an argument said number of times.

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## marked as duplicate by Artes, The-Ever-Kid, Leonid Shifrin, R. M.♦Dec 15 '12 at 14:26

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

Take a look at Nest and NestList. reference.wolfram.com/mathematica/ref/NestList.html Don't forget to check NestWhile,NestWhileList, FixedPoint, FixedPointList. And this tutorial: reference.wolfram.com/mathematica/tutorial/… – DavidC Dec 15 '12 at 14:04
You can do e.g. Nest[Sin, x, 5], look at this mathematica.stackexchange.com/questions/7941/… – Artes Dec 15 '12 at 14:06
Thank You guys... – The-Ever-Kid Dec 15 '12 at 14:09

## 1 Answer

I get an easy one !!

Nest[Sin,x,10]
Out[8]= Sin[Sin[Sin[Sin[Sin[Sin[Sin[Sin[Sin[Sin[x]]]]]]]]]]

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