How to draw this graph to compare two terms?

General
1

One term is n/ [(n+2) (n+1)^2]. The other term is 1/(3n).

n is positive integer, n=1,2,3,....

How to draw a graph to show the first term is always smaller than the second term?

2

do square brackets have any special meaning in this notation ?

3

sorry, I should make it clear. square brackets doesn't have any special meaning. The numerator is n. The denominator is (n+2) (n+1)^2

4 

term_1 <- function(n){
  n/((n+2)*(n+1)^2)
}

term_2 <- function(n){
  1/(3*n)
}

curve(term_1,from = 1,to=100,col="blue")
curve(term_2,from = 1,to=100,col="red",add = TRUE)

image
image906×676 4.02 KB

1 Like
5

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