problem with the function y

how to define the function y so that when I type (x) I get the value of this function and not its formula, please help :(

syms x

T = taylor (asinh (x), x, 'Order' ,16);

x=input('indicate the value of x = ');

if x>-1 || x<1

y= T ??????????????????????

g=asinh(x);

end

if x<=(-1) || x>=1

y='error!';

g='error'!';

end

Answer 1

[Star Strider]

Define it as a function. (This has been possible since R2012a.)

syms x
T(x) = taylor (asinh (x), x, 'Order' ,16);

figure
fplot(T, [-1 1]*1.35)
hold on
fplot(asinh(x), [-1, 1]*1.35)
hold off
grid
hl = legend('16-Term Taylor Series', 'Analytic Function', 'Location','best');
title(hl, 'sinh(x)^{-1}')

.

[Szczepan Michura]

thank you for this useful graph, but that's not quite what I had in mind, I wanted a numerical value for the Term Taylor Series variable

[Szczepan Michura]

so that it can be compared with that calculated by the trigonometric functions of matlab

[Star Strider]

My pleasure!

Perhaps —

syms x
T(x) = taylor (asinh (x), x, 'Order' ,16);

xv = 0.5

xv = 0.5000

y = T(xv)

y = 

y = vpa(y)

y = 

0.48121175225884076267834812756688

is the desired result?

.

[Szczepan Michura]

yes thank you, that's what I meant

[Star Strider]

As always, my pleasure!