Exercise about tensor product

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Let be $R$ a $\mathbb{C}-$ algebra and take $R\otimes_{\mathbb{C}}\mathbb{C}[[t]]$, Is this isomorphic as ring to $R[[t]]?$ I think that I can prove it using the quozient of these ring and take the projective/inverse limit, where the quotient is made with ideal like $(t^{n})$