What Is the Sum of the Infinite Series 1/1 + 1/2^2 + 1/3^3 + •••? | Calculus | Integral

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why does 1+1/2+1/3+... = infinity? why does 1+1/2+1/3+... = infinity?
ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12 ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12
I heard 1/2+1/3+1/4+... goes to infinity but I didn I heard 1/2+1/3+1/4+... goes to infinity but I didn't think it would go past 3. Reddit r/learnmath
1-2+3-4+5-6+7-8...Infinity = 1/4 1-2+3-4+5-6+7-8...Infinity = 1/4
Sum of Series: (1 + 2^n)/3^n , n = 1 to infinity Sum of Series: (1 + 2^n)/3^n , n = 1 to infinity