in question three why is it (2p + 1)(2p + 2) = 2(2p + 1)(p + 1)
In the second factor of the term (2p + 1)(2p + 2) i.e. (2p+2), 2 is common. So we can write
(2p+2)=2(p+1). That's why we write, (2p + 1)(2p + 2) =2(2p + 1)(p + 1)
limx→∞1p+2p+3p+……+npnp+1 is