Plotting a sequence of functions in MATLAB

I am interested in plotting the graphs of a sequence of functions in MATLAB.

For a specific example, I am interested in plotting the sequence of functions

for

Then how can I do that for arbitrary large values of k?

I was able to plot the graph of the function , , using fplot(@( x) x ), fplot(@(x) x^2 ) and fplot(@(x) x^3 ) but how should I do that when there are complicated functions and for higher values of n?

Additional Question

How can I plot the limit of this sequence of functions without plotting the functions ?

Answer 1

[Walter Roberson]

Fn = @(x,n) x.^n;
x = linspace(0,3);
n = (1:50).';
fn = Fn(x, n);
semilogy(x, fn);