Events are independent?

Probability Level 2

Let $E_1,E_2,E_3,....,E_n$ be $n$ independent events such that $P(E_i)=\dfrac{1}{i+1}$ for $i=1,2,3,...,n.$ What will be the probability that at least one of the events occurs ?

Note: $P(A)$ denotes the probability of occurrence of event $A.$