## Demonstrate that t-distribution quantiles get closer to the
## standard normal quantile as the degrees of freedom increases.

M = array(0, c(100,2))

q = 0.975  ## The quantile to analyze.

## Cycle through various degrees of freedom.
for (d in 1:100) {

    ## The qth quantile of the t-distribution with d degrees of freedom.
    M[d,1] = qt(q, d)

    ## The qth quantile of the standard normal distribution
    ## (doesn't depend on d). 
    M[d,2] = qnorm(q)
}