SKEDSOFT

Maths For Engineers - 1

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