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

Take the limit of each term.
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 limits by plugging in for all occurrences of .
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 .
Cancel the common factor of and .
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)