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 ?

回答(1 个)

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

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R2020b

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