# Problems On Taylor's Theorem

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**Problems on Taylor's Theorem:**

**1. Expand ex sin y by using Maclaurin's Theorem upto the third degree terms.
**

**Solution: **Let

At (0,0)

Hence By Maclaurin's Theorem

Substituting all the value in the expansion of f (x,y), we get

**2. Exapand ex log ( 1 y ) by Maclaurin's theorem upto the third degree terms.
**

**Solution: **Let

By Maclaurin's Theorem