Is language L2 Context free or not?

How this language is Context free?

$\mathcal{L2}=\{a^ib^jc^i \;|\;i,j\geq 1\}$ Please explain me.

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$$S\to a A c$$ $$A\to a A c$$ $$A\to bB$$ $$B\to bB$$ $$B\to \epsilon$$

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Is this language CFL? – Sudhir Nov 14 '12 at 17:25
@sudhir: The answer contains a context-free grammar which generates your language, so yes. – Tara B Nov 14 '12 at 17:28