find the zigma of

Question

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

please show step help

Answer 1

that's sigma, not zigma.

Note that n/(n+1) = 1 - 1/(n+1)

So, the sum is the same as

n - Σ 1/(k+1)!

Unfortunately, this cannot be expressed using elementary functions.