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Write the series:

Express it as

𝑚

=

1

𝑛

=

1

𝑎

𝑚

𝑛

m=1

​

n=1

​

a

mn

​

, where each term

𝑎

𝑚

𝑛

a

mn

​

has two indices.

Choose the order of summation:

You can sum by rows (fix

𝑚

m) or by columns (fix

𝑛

n) first.

Check for convergence:

See if the total approaches a finite value. If it converges absolutely, you can change the order freely.

Evaluate the sum:

Add up all terms step by step (analytically or numerically) to find the final value.

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Rakshitha

Lvl 2
5mo ago

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