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Simple Pole at z=a

Type 1: $$f(z)=(z-a)^{-1}g(z),g\in H(D(a;r)):$$

$$Res\{f(z);a\}=g(a)$$

Type 2: $$f(z)=\frac{h(z)}{k(z)},h(a)\neq 0,k(a)=0,k^{'}(a)\neq 0:$$

$$Res\{f(z);a\}=\frac{h(a)}{k^{'}(a)}$$

Now my question is how do i know when should i use the Type 1 or Type 2??

Please Help