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

Math
Take the limit of each term.
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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 .
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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 .
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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)

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