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