Develop an algorithm that performs the following $($you can present it in the form of a pseudo$-$code or a list of steps$)$:he sai he du inge man using pete quate or in dined us is theTaylor's series expansion. If An is the nth term of the series, then sum Sn of the first nterms is Sn $=$ Sn$-1$ t An$.$ In each pass, calculate the estimated error E given by E $=$ lanl.Stop adding terms when E $<10-\text{'},$ and report y$.$