What's the problem with this simple anonymous function?

Here's an simple code:

clear all; clc; close all;
n = 1:3;
for i = 1:numel(n) %numel is used if someother time I'll use negative values for n
    f = @(x) x.^n;
    fplot(f);
    hold on;
    f1 = @(x) x.^(1/n);
    fplot(f1);
    hold on;
end

The function "f" is running OK but "f1" is generating graphics error. For one value of n like:

f1 = @(x) x.^(1/2);

It generates the plot, but not in the loop.

Please let me know what's wrong?

Answer 1

[Steven Lord]

You likely meant to use n(i) in your functions, not n. Another option would be to use 1./n instead of 1/n.

n = 1:3

n = 1×3

1 2 3

y = 1./n

y = 1×3

1.0000 0.5000 0.3333

z = 1/n(2)

z = 0.5000

w = 1/n

Error using /
Matrix dimensions must agree.

[Muhammad Usman]

Thanks, sometimes a simpler logic never clicks into the mind

[Muhammad Usman]

One thing more to ask how to adjust legend for array n

n = 1:10;
    figure(1);
    f = @(x) x.^n;
    fplot(f);
    hold on;
    legend(sprintf('$x^{%d}$\n',n),'Interpreter','latex');
    xlim([0 10])
    

The output I got:

How to correct it?

Thanks in advance