Explain the strategy presented in this section for evaluating a limit of the form ,where f and g have Taylor series centered at a.

Solution 1EStep 1:In this problem we have to explain how to evaluate a limit of the form where f and g have Taylor series centered at a.Consider Since and have Taylor series centered at Substitute the taylor series expansion of and in Then simplify by cancelling the like term with opposite terms and substitute the limit.For example, consider The Taylor series of with center is Therefore Cancel 1, we get