जब n एक गैर-पूर्णांक (non-integer) हो, तो (1 + x)n के द्विपद प्रसार (binomial expansion) की प्रकृति क्या होती है?

The expansion of (1 + x2)-1/2 is:

If the coefficient of the 4th term in the expansion of (1 + x)n is 35, find the value of n.

The total number of terms in the expansion of (x + 3y)16 is: