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For P0 close to P1 the relative entropy can be approximated by its series expansion,Why?

I am reading a article (An overview of distinguishing attacks on stream ciphers, Martin Hell · Thomas Johansson · Lennart Brynielsson) about Distinguishe Attacks. There is a approximate equation ...
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entropy of perfect cryptosystems

I am working on the product of two perfect crypto-systems and I need to prove that the product is secure. $$a -- [\text{system}\ 1] -- b -- [\text{system}\ 2] -- c$$ How can I prove that $H(a) = ...