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★ INFINITY ★
Lets initiate for the ' nth ' value of series -
Sum of squares of first n natural numbers =
Now consider the properties of INFINITY -
☣ ∞ ± C = ∞ , ∀ C ∈ R
☣ - ∞ ± C = - ∞ ∀ C ∈ R
☣ ∞ ( ∞ ) = ∞
Now either n → ∞ ( n tends to INFINITY )
or n = ∞
Non of the above operations goes IN INDETERMINATE FORM
Now
Is the converse of above property simultaneously
So ,
Hence , the final system reduces to
INFINITY
Lets initiate for the ' nth ' value of series -
Sum of squares of first n natural numbers =
Now consider the properties of INFINITY -
☣ ∞ ± C = ∞ , ∀ C ∈ R
☣ - ∞ ± C = - ∞ ∀ C ∈ R
☣ ∞ ( ∞ ) = ∞
Now either n → ∞ ( n tends to INFINITY )
or n = ∞
Non of the above operations goes IN INDETERMINATE FORM
Now
Is the converse of above property simultaneously
So ,
Hence , the final system reduces to
INFINITY
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