Find the zeroes and their order for the following. (Use Taylor series or derivatives) sin(z)

Find the zeroes and their order for the following. (Use Taylor series or derivatives)

sin(z)

Solutions

Expert Solution

Summary:- Definitions of zeros-- A zero(z₀) is a value of z , where f(z₀₎=0.

If z₀ is a zero of order n then nth derivative of f(z) is non-zero at z₀ whenver all preceeding derivative upto n-1 are zero at z₀.

Now we solve question, we see that {n: n} are zeros of sin(z) of order 1.

Here we find out zeros by the help of derivatives.

Colby Messinger answered 1 year ago

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