mclaurin series in matlab

To compute the Maclaurin series of a function in MATLAB, you can use the taylor function. The taylor function computes the Taylor series approximation of a function around a specified point.

Here's an example of how you can use the taylor function to compute the Maclaurin series of the exponential function exp(x) in MATLAB:

main.m
syms x
f = exp(x); % Function to approximate
n = 5; % Number of terms in the series

% Compute the Maclaurin series using taylor function
macSeries = taylor(f, x, 'Order', n);

% Display the Maclaurin series
disp(macSeries)
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In this example, we use the syms function to create a symbolic variable x. Then, we define the function we want to approximate f = exp(x). Next, we specify the number of terms n in the series. Finally, we use the taylor function to compute the Maclaurin series of f.

The resulting Maclaurin series is stored in the variable macSeries and displayed using the disp function.

You can modify the code above to compute the Maclaurin series of a different function by replacing f = exp(x) with the desired function.

Note that the taylor function requires the Symbolic Math Toolbox in MATLAB.