Problem 18E

Limits Evaluate the following limits using Taylor series.

Solution 18E

Step 1:

In this problem we have to evaluate using taylor series.

We know the taylor series of is ;

= 1+x ++++................

= 1+++++...................

Consider , =

=

=

=

= , since cancel out the “x” .

=

=

= (+0+0+0…..) , since as .

= .

Therefore , = .