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1-Visitor
September 14, 2017
Solved

Help with symbolic calculation

I have tried to solve this summation with symbolic calculation but it does not give me an answer:

cálculo simbólico 1.jpg

If I give a value to n, I get an answer:

cálculo simbólico 2.jpg

Which keyword or modifier should I use to get a response without giving a numeric value to n??

Would appreciate any help to solve this problem.

Werner_E
Werner_EAnswer
25-Diamond I
September 14, 2017

Yes, the simplification is correct but Mathcad's abilities are unfortunately very limited when it comes to symbolic calculations. Especially when compared to more advanced systems like Mathematica or Maple or even whem compared to Uncle Wolfram (limited mathematica engine):

B4.PNG

I am surprised that even Luc did not succeed as he is using mathcad 11 which includes an older version of Maple to do the symbolic calculations.

 

7 replies

1-Visitor
September 14, 2017

What would you want the solver to show for the generic n?  This?

tan(x) + tan(x/2)/2 + tan(x/4)/4 + tan(x/8)/8 + ... + tan(x/2^n)/2^n

This is beter shown with the sigma summation -- as in the original equation.

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rhanet1-VisitorAuthor
1-Visitor
September 14, 2017

You're right, but what I want is to come up with a simplified summation result like this:

cálculo simbólico 3.jpg

For this I manually use this property:

cálculo simbólico 4.jpg

How can I implement it to get the desired result??

 

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23-Emerald V
September 14, 2017

I'm afraid you will not succeed.

 

LM_20170914_Symbolic.png

Where did the summation go to?

 

Success!
Luc

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