Split the limit using the Limits Quotient Rule on the limit as approaches .

Split the limit using the Sum of Limits Rule on the limit as approaches .

Split the limit using the Sum of Limits Rule on the limit as approaches .

Evaluate the limit of by plugging in for .

Evaluate the limit of which is constant as approaches .

Evaluate the limit of by plugging in for .

Evaluate the limit of which is constant as approaches .

Rewrite as .

Factor out of .

Factor out of .

Cancel the common factor.

Divide by .

Evaluate limit as x approaches 0 of (x-y)/(x+y)