N is a positive number. How can i show that tends to as tends to
Follow Math Help Forum on Facebook and Google+
Hi mate, notice how as . You know, etc. Then tends to and so does , because we know that a number to the zeroth power is 1. Hope that makes sense.
Clearly tends to But the problem is with because you get which doesnot make sense.
Is N a constant then, and not just "n"? If then ln(y)= ln(1+ n)/n. By L'Hopital's rule, ln(1+x)/x goes to 0 as x goes to infinity so ln(1+ n)/n goes to 0 as n goes to infinity. Since y is 0, the limit of is, indeed, 1.
View Tag Cloud