functions

How is this a odd func ;-; que 10
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18 Replies
iTeachChem Helper
iTeachChem Helper•5w ago
@Apu
iTeachChem Helper
iTeachChem Helper•5w ago
Note for OP
+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.
SirLancelotDuLac
SirLancelotDuLac•5w ago
,rotate
TeXit
TeXit•5w ago
No description
Real potato
Real potatoOP•5w ago
Bro spawned instantly😭
SirLancelotDuLac
SirLancelotDuLac•5w ago
Arey I remember my friends stuck on the same question lol
Real potato
Real potatoOP•5w ago
Oh ;-;
SirLancelotDuLac
SirLancelotDuLac•5w ago
Consider x=k.pi when k is an integer. The function is zero.
Real potato
Real potatoOP•5w ago
and on other values?
SirLancelotDuLac
SirLancelotDuLac•5w ago
Now consider k not being equal to k.pi. Since [x+I]=[x]+I, the function becomes $\frac{x(sin(x)+tan(x))}{[\frac{x}{\pi}]+\frac{1}{2}}$
TeXit
TeXit•5w ago
SirLancelotDuLac
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SirLancelotDuLac
SirLancelotDuLac•5w ago
Yea typing latex takes time lol.
Real potato
Real potatoOP•5w ago
yup i wrote the func like this only simplifying the denom
SirLancelotDuLac
SirLancelotDuLac•5w ago
After this plug in -x. Since $\frac{x}{\pi}$ is surely not an integer we have $[\frac{-x}{\pi}]=-[\frac{x}{\pi}]-1$ After this you can just see by plugging in -x why it's odd.
Real potato
Real potatoOP•5w ago
Ahh i see
TeXit
TeXit•5w ago
SirLancelotDuLac
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Real potato
Real potatoOP•5w ago
the gint function bugs me everywhere ;-; This is a new thing never thought like this Thanks +solved @SirLancelotDuLac
iTeachChem Helper
iTeachChem Helper•5w ago
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