Can someone explain how in Problem Set 1, Problem 1I-3 how the function equals 1 when n - infinity. I'm having problem seeing this because LN(1) = zero.

Question

Can someone explain how in Problem Set 1, Problem 1I-3 how the function equals 1 when n -> infinity.  I'm having problem seeing this because LN(1) = zero.

anonymous · Answer

Just in Case.  The problem is Evaluate LIM(n->infinity)  n*LN(1+1/n)

Hint: Let h = 1/n, and use (d/dx)ln(1+x), x=0, = 1

anonymous · Answer

It's explained during Part B of Unit 1, starting with Session 16, I think.  Note that while ln(1+1/n) tends towards zero, n tends towards infinity, so n*ln(1+1/n) tends towards something like infinity times zero.