Divergent or convergent..

I think your question should be which of the following is non - Convergent?

d) is the correct answer because a,c are converging at 0 and b converging at 1 and d is the oscillatory sequence

d) (-1)^n *( 1+ (1/n)). Upon multiplication, the result is (-1)^n + ((-1)^n)/n. But (-1)^n is an oscillating sequence. Therefore the entrie sequence is divergent.