Chalte chalte expressing a fincyion

IIT JEE 2015 Online › Calculus questions › Chalte chalte expressing a fincyion

A fuction can be written as the sum of an od an even function if:
last yr's tst series question
a)its continuous
b)its continuous and diffrentiable
c)it has asymmetric domain about origin
d)its ALWAYS obvious that A fuction can be written as the sum of an od an even function

#Mathematics #Calculus

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2 Answers

62

Lokesh Verma ·2009-09-21 04:55:17

c) It has a symmetric domain...

Because then it can be written as f(x)+f(-x)2+f(x)-f(-x)2

one of whichi is even and the other is odd

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Grandmaster ·2009-09-22 05:09:26

thanks!!!!

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