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Question: why it give me this ?

Question:why it give me this ?

Lali_miani 70 Maple V
series taylor
March 15 2018
1

we know that the exponotial function is represented as a taylor series, that means that the exponontial of any value is approximatvly evaluated ,the same thing of sinus function when i calcute sin(Pi/6) it give me the exacte result,
 

> 

sum(0^i/i!,i=0..infinity);

0

 (1)
> 

exp(0);

1

 (2)
> 

sin(0.2);

.1986693308

 (3)
> 

sin(Pi/6);

1/2

 (4)
> 

sin(Pi/2);

1

 (5)
> 

 


 

Download trying.mws

,can anyone explain to me these results ?
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