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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
3 Jan 2022

Given information

We have to prove the generalized triangle inequality.

Step-by-step explanation

Step 1.

we will prove this by mathematical induction .

for n=1,we have

 

Assumes the inequality holds for some  

................(1)

now,for n=n+1 we can write 

(by usual triangle inequality)

          (by equation 1)

           

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