Update Math416_L4.md
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> <!---TODO: check after lecture-->
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> <!---TODO: check after lecture-->
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> $f$ is differentiable if and only if $f(z+h)=f(z)+f'(z)h+\frac{1}{2}h^2f''(z)+o(h^3)$ as $h\to 0$.
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> $f$ is differentiable if and only if $f(z+h)=f(z)+f'(z)h+\frac{1}{2}h^2f''(z)+o(h^3)$ as $h\to 0$.
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Since $f$ is holomorphic at $\gamma(t_0)=\zeta_0$, we have
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Since $f$ is holomorphic at $\gamma(t_0)=\zeta_0$, we have
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$$
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$$
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