I want to derive sinc (0) value through inline or subs function.

I can get a value of 1 by writing sinc (0) without using syms. However, I can not derive the value of sinc (0) using syms with inline and subs functions. For example, subs (sin (k), k, 0) yields a 'NaN' value other than '1'.

Is there a way to get a value of 1 instead of NaN in this way?

What I'm trying to do is to use sin (a * k) / (b * k) when k equals zero rather than simple sinc (k)

Please help me.

Answer 1

[Greg Dionne]

sin(a*k)/(b*k) = 1/b * sin(a*k)/k = a/b * sin(a*k)/(a*k) = a/b * sinc(a*k).

Answer 2

[Walter Roberson]

syms a b k
limit( sin (a * k) / (b * k), k, 0)

sinc is a limit, not a direct calculation.