Can the value of the following be found?

1^(1/1) + 2^(1/2) + 3^(1/3) + 4^(1/4) + .......

Sum does not converge.

By the limit test, the series diverges.

Partial sum values:

(1, 1.)

(2, 2.41421)

(3, 3.85646)

(4, 5.27068)

(5, 6.65041)

(6, 7.99841)

The limit of x^(1/x) = 1, so the sum would go to infinity. A more interesting problem to ask would have been whether 1^(1/1) - 2^(1/2) + ... + n^(1/n) + (n+1)^(1/(n+1)) had a solution.

As an infinite series, the sum is +∞, as none of the terms is < 1.

i do not know

BODMAS.

Go for it.

+ what??